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Finding the Fourth Proportional to 9,737.10, 14,607.46 and 4,542.96

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Solution

The fourth proportional to 9,737.10, 14,607.46 and 4,542.96 is: 6,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.10 : 14,607.46 = 4,542.96 : x
  2. Step 2: Convert to fraction form
    9,737.10/14,607.46 = 4,542.96/x
  3. Step 3: Cross multiply
    9,737.10x = 14,607.46 × 4,542.96
  4. Step 4: Simplify right side
    9,737.10x = 66,361,106.48
  5. Step 5: Solve for x
    x = 66,361,106.48/9,737.10
  6. Step 6: Final answer
    x = 6,815.28

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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.