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Finding the Fourth Proportional to 9,293.57, 13,916.51 and 5,128.95

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Solution

The fourth proportional to 9,293.57, 13,916.51 and 5,128.95 is: 7,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.57 : 13,916.51 = 5,128.95 : x
  2. Step 2: Convert to fraction form
    9,293.57/13,916.51 = 5,128.95/x
  3. Step 3: Cross multiply
    9,293.57x = 13,916.51 × 5,128.95
  4. Step 4: Simplify right side
    9,293.57x = 71,377,129.74
  5. Step 5: Solve for x
    x = 71,377,129.74/9,293.57
  6. Step 6: Final answer
    x = 7,680.27

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