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Finding the Fourth Proportional to 9,898.93, 13,658.79 and 5,648.05

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Solution

The fourth proportional to 9,898.93, 13,658.79 and 5,648.05 is: 7,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.93 : 13,658.79 = 5,648.05 : x
  2. Step 2: Convert to fraction form
    9,898.93/13,658.79 = 5,648.05/x
  3. Step 3: Cross multiply
    9,898.93x = 13,658.79 × 5,648.05
  4. Step 4: Simplify right side
    9,898.93x = 77,145,528.86
  5. Step 5: Solve for x
    x = 77,145,528.86/9,898.93
  6. Step 6: Final answer
    x = 7,793.32

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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.