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Finding the Fourth Proportional to 34,432.26, 51,641.59 and 9,465.87

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Solution

The fourth proportional to 34,432.26, 51,641.59 and 9,465.87 is: 14,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,432.26 : 51,641.59 = 9,465.87 : x
  2. Step 2: Convert to fraction form
    34,432.26/51,641.59 = 9,465.87/x
  3. Step 3: Cross multiply
    34,432.26x = 51,641.59 × 9,465.87
  4. Step 4: Simplify right side
    34,432.26x = 488,832,577.53
  5. Step 5: Solve for x
    x = 488,832,577.53/34,432.26
  6. Step 6: Final answer
    x = 14,196.94

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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.