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Finding the Fourth Proportional to 9,737.69, 14,608.47 and 2,719.71

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Solution

The fourth proportional to 9,737.69, 14,608.47 and 2,719.71 is: 4,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.69 : 14,608.47 = 2,719.71 : x
  2. Step 2: Convert to fraction form
    9,737.69/14,608.47 = 2,719.71/x
  3. Step 3: Cross multiply
    9,737.69x = 14,608.47 × 2,719.71
  4. Step 4: Simplify right side
    9,737.69x = 39,730,812.14
  5. Step 5: Solve for x
    x = 39,730,812.14/9,737.69
  6. Step 6: Final answer
    x = 4,080.11

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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.