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Finding the Fourth Proportional to 9,737.09, 13,437.18 and 6,202.35

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Solution

The fourth proportional to 9,737.09, 13,437.18 and 6,202.35 is: 8,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.09 : 13,437.18 = 6,202.35 : x
  2. Step 2: Convert to fraction form
    9,737.09/13,437.18 = 6,202.35/x
  3. Step 3: Cross multiply
    9,737.09x = 13,437.18 × 6,202.35
  4. Step 4: Simplify right side
    9,737.09x = 83,342,046.86
  5. Step 5: Solve for x
    x = 83,342,046.86/9,737.09
  6. Step 6: Final answer
    x = 8,559.24

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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.