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Finding the Fourth Proportional to 9,737.59, 14,600.53 and 3,807.41

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Solution

The fourth proportional to 9,737.59, 14,600.53 and 3,807.41 is: 5,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.59 : 14,600.53 = 3,807.41 : x
  2. Step 2: Convert to fraction form
    9,737.59/14,600.53 = 3,807.41/x
  3. Step 3: Cross multiply
    9,737.59x = 14,600.53 × 3,807.41
  4. Step 4: Simplify right side
    9,737.59x = 55,590,157.91
  5. Step 5: Solve for x
    x = 55,590,157.91/9,737.59
  6. Step 6: Final answer
    x = 5,708.82

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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.