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Finding the Fourth Proportional to 9,898.23, 13,660.85 and 5,648.31

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Solution

The fourth proportional to 9,898.23, 13,660.85 and 5,648.31 is: 7,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.23 : 13,660.85 = 5,648.31 : x
  2. Step 2: Convert to fraction form
    9,898.23/13,660.85 = 5,648.31/x
  3. Step 3: Cross multiply
    9,898.23x = 13,660.85 × 5,648.31
  4. Step 4: Simplify right side
    9,898.23x = 77,160,687.42
  5. Step 5: Solve for x
    x = 77,160,687.42/9,898.23
  6. Step 6: Final answer
    x = 7,795.40

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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.