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Finding the Fourth Proportional to 9,648,838.17, 14,472,782.06 and 3,584,750.49

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Solution

The fourth proportional to 9,648,838.17, 14,472,782.06 and 3,584,750.49 is: 5,376,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648,838.17 : 14,472,782.06 = 3,584,750.49 : x
  2. Step 2: Convert to fraction form
    9,648,838.17/14,472,782.06 = 3,584,750.49/x
  3. Step 3: Cross multiply
    9,648,838.17x = 14,472,782.06 × 3,584,750.49
  4. Step 4: Simplify right side
    9,648,838.17x = 51,881,312,563,324.46
  5. Step 5: Solve for x
    x = 51,881,312,563,324.46/9,648,838.17
  6. Step 6: Final answer
    x = 5,376,949.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.