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Finding the Fourth Proportional to 9,898.86, 13,660.58 and 5,920.40

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Solution

The fourth proportional to 9,898.86, 13,660.58 and 5,920.40 is: 8,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.86 : 13,660.58 = 5,920.40 : x
  2. Step 2: Convert to fraction form
    9,898.86/13,660.58 = 5,920.40/x
  3. Step 3: Cross multiply
    9,898.86x = 13,660.58 × 5,920.40
  4. Step 4: Simplify right side
    9,898.86x = 80,876,097.83
  5. Step 5: Solve for x
    x = 80,876,097.83/9,898.86
  6. Step 6: Final answer
    x = 8,170.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.