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Finding the Fourth Proportional to 9,737.12, 14,607.12 and 4,471.04

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Solution

The fourth proportional to 9,737.12, 14,607.12 and 4,471.04 is: 6,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.12 : 14,607.12 = 4,471.04 : x
  2. Step 2: Convert to fraction form
    9,737.12/14,607.12 = 4,471.04/x
  3. Step 3: Cross multiply
    9,737.12x = 14,607.12 × 4,471.04
  4. Step 4: Simplify right side
    9,737.12x = 65,309,017.80
  5. Step 5: Solve for x
    x = 65,309,017.80/9,737.12
  6. Step 6: Final answer
    x = 6,707.22

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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.