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Finding the Fourth Proportional to 9,737.13, 14,607.51 and 3,161.55

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Solution

The fourth proportional to 9,737.13, 14,607.51 and 3,161.55 is: 4,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.13 : 14,607.51 = 3,161.55 : x
  2. Step 2: Convert to fraction form
    9,737.13/14,607.51 = 3,161.55/x
  3. Step 3: Cross multiply
    9,737.13x = 14,607.51 × 3,161.55
  4. Step 4: Simplify right side
    9,737.13x = 46,182,373.24
  5. Step 5: Solve for x
    x = 46,182,373.24/9,737.13
  6. Step 6: Final answer
    x = 4,742.91

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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.