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Finding the Fourth Proportional to 9,898.04, 13,648.92 and 6,912.68

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Solution

The fourth proportional to 9,898.04, 13,648.92 and 6,912.68 is: 9,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.04 : 13,648.92 = 6,912.68 : x
  2. Step 2: Convert to fraction form
    9,898.04/13,648.92 = 6,912.68/x
  3. Step 3: Cross multiply
    9,898.04x = 13,648.92 × 6,912.68
  4. Step 4: Simplify right side
    9,898.04x = 94,350,616.31
  5. Step 5: Solve for x
    x = 94,350,616.31/9,898.04
  6. Step 6: Final answer
    x = 9,532.25

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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.