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Finding the Fourth Proportional to 9,425.69, 13,007.61 and 5,177.15

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Solution

The fourth proportional to 9,425.69, 13,007.61 and 5,177.15 is: 7,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.69 : 13,007.61 = 5,177.15 : x
  2. Step 2: Convert to fraction form
    9,425.69/13,007.61 = 5,177.15/x
  3. Step 3: Cross multiply
    9,425.69x = 13,007.61 × 5,177.15
  4. Step 4: Simplify right side
    9,425.69x = 67,342,283.07
  5. Step 5: Solve for x
    x = 67,342,283.07/9,425.69
  6. Step 6: Final answer
    x = 7,144.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.