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Finding the Fourth Proportional to 9,569.17, 14,340.39 and 4,637.50

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Solution

The fourth proportional to 9,569.17, 14,340.39 and 4,637.50 is: 6,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.17 : 14,340.39 = 4,637.50 : x
  2. Step 2: Convert to fraction form
    9,569.17/14,340.39 = 4,637.50/x
  3. Step 3: Cross multiply
    9,569.17x = 14,340.39 × 4,637.50
  4. Step 4: Simplify right side
    9,569.17x = 66,503,558.63
  5. Step 5: Solve for x
    x = 66,503,558.63/9,569.17
  6. Step 6: Final answer
    x = 6,949.77

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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.