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Finding the Fourth Proportional to 9,737.76, 13,436.10 and 6,199.68

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Solution

The fourth proportional to 9,737.76, 13,436.10 and 6,199.68 is: 8,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.76 : 13,436.10 = 6,199.68 : x
  2. Step 2: Convert to fraction form
    9,737.76/13,436.10 = 6,199.68/x
  3. Step 3: Cross multiply
    9,737.76x = 13,436.10 × 6,199.68
  4. Step 4: Simplify right side
    9,737.76x = 83,299,520.45
  5. Step 5: Solve for x
    x = 83,299,520.45/9,737.76
  6. Step 6: Final answer
    x = 8,554.28

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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.