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Finding the Fourth Proportional to 9,737.16, 13,429.84 and 6,553.86

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Solution

The fourth proportional to 9,737.16, 13,429.84 and 6,553.86 is: 9,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.16 : 13,429.84 = 6,553.86 : x
  2. Step 2: Convert to fraction form
    9,737.16/13,429.84 = 6,553.86/x
  3. Step 3: Cross multiply
    9,737.16x = 13,429.84 × 6,553.86
  4. Step 4: Simplify right side
    9,737.16x = 88,017,291.18
  5. Step 5: Solve for x
    x = 88,017,291.18/9,737.16
  6. Step 6: Final answer
    x = 9,039.32

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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.