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Finding the Fourth Proportional to 9,868.54, 14,802.46 and 2,473.06

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Solution

The fourth proportional to 9,868.54, 14,802.46 and 2,473.06 is: 3,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.54 : 14,802.46 = 2,473.06 : x
  2. Step 2: Convert to fraction form
    9,868.54/14,802.46 = 2,473.06/x
  3. Step 3: Cross multiply
    9,868.54x = 14,802.46 × 2,473.06
  4. Step 4: Simplify right side
    9,868.54x = 36,607,371.73
  5. Step 5: Solve for x
    x = 36,607,371.73/9,868.54
  6. Step 6: Final answer
    x = 3,709.50

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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.