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Finding the Fourth Proportional to 9,411.71, 12,987.69 and 5,432.59

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Solution

The fourth proportional to 9,411.71, 12,987.69 and 5,432.59 is: 7,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.71 : 12,987.69 = 5,432.59 : x
  2. Step 2: Convert to fraction form
    9,411.71/12,987.69 = 5,432.59/x
  3. Step 3: Cross multiply
    9,411.71x = 12,987.69 × 5,432.59
  4. Step 4: Simplify right side
    9,411.71x = 70,556,729.88
  5. Step 5: Solve for x
    x = 70,556,729.88/9,411.71
  6. Step 6: Final answer
    x = 7,496.70

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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.