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Finding the Fourth Proportional to 9,737.10, 14,607.27 and 4,805.82

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Solution

The fourth proportional to 9,737.10, 14,607.27 and 4,805.82 is: 7,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.10 : 14,607.27 = 4,805.82 : x
  2. Step 2: Convert to fraction form
    9,737.10/14,607.27 = 4,805.82/x
  3. Step 3: Cross multiply
    9,737.10x = 14,607.27 × 4,805.82
  4. Step 4: Simplify right side
    9,737.10x = 70,199,910.31
  5. Step 5: Solve for x
    x = 70,199,910.31/9,737.10
  6. Step 6: Final answer
    x = 7,209.53

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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.