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Finding the Fourth Proportional to 28,497.50, 42,747.12 and 9,777.27

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Solution

The fourth proportional to 28,497.50, 42,747.12 and 9,777.27 is: 14,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,497.50 : 42,747.12 = 9,777.27 : x
  2. Step 2: Convert to fraction form
    28,497.50/42,747.12 = 9,777.27/x
  3. Step 3: Cross multiply
    28,497.50x = 42,747.12 × 9,777.27
  4. Step 4: Simplify right side
    28,497.50x = 417,950,155.97
  5. Step 5: Solve for x
    x = 417,950,155.97/28,497.50
  6. Step 6: Final answer
    x = 14,666.21

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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.