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Finding the Fourth Proportional to 9,862.86, 14,793.89 and 5,477.52

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Solution

The fourth proportional to 9,862.86, 14,793.89 and 5,477.52 is: 8,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.86 : 14,793.89 = 5,477.52 : x
  2. Step 2: Convert to fraction form
    9,862.86/14,793.89 = 5,477.52/x
  3. Step 3: Cross multiply
    9,862.86x = 14,793.89 × 5,477.52
  4. Step 4: Simplify right side
    9,862.86x = 81,033,800.97
  5. Step 5: Solve for x
    x = 81,033,800.97/9,862.86
  6. Step 6: Final answer
    x = 8,216.06

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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.