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Finding the Fourth Proportional to 9,825.30, 14,737.95 and 6,544.80

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Solution

The fourth proportional to 9,825.30, 14,737.95 and 6,544.80 is: 9,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.30 : 14,737.95 = 6,544.80 : x
  2. Step 2: Convert to fraction form
    9,825.30/14,737.95 = 6,544.80/x
  3. Step 3: Cross multiply
    9,825.30x = 14,737.95 × 6,544.80
  4. Step 4: Simplify right side
    9,825.30x = 96,456,935.16
  5. Step 5: Solve for x
    x = 96,456,935.16/9,825.30
  6. Step 6: Final answer
    x = 9,817.20

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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.