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Finding the Fourth Proportional to 9,702.32, 14,531.81 and 8,436.69

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Solution

The fourth proportional to 9,702.32, 14,531.81 and 8,436.69 is: 12,636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.32 : 14,531.81 = 8,436.69 : x
  2. Step 2: Convert to fraction form
    9,702.32/14,531.81 = 8,436.69/x
  3. Step 3: Cross multiply
    9,702.32x = 14,531.81 × 8,436.69
  4. Step 4: Simplify right side
    9,702.32x = 122,600,333.93
  5. Step 5: Solve for x
    x = 122,600,333.93/9,702.32
  6. Step 6: Final answer
    x = 12,636.19

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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.