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Finding the Fourth Proportional to 9,898.46, 13,654.70 and 6,120.42

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Solution

The fourth proportional to 9,898.46, 13,654.70 and 6,120.42 is: 8,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.46 : 13,654.70 = 6,120.42 : x
  2. Step 2: Convert to fraction form
    9,898.46/13,654.70 = 6,120.42/x
  3. Step 3: Cross multiply
    9,898.46x = 13,654.70 × 6,120.42
  4. Step 4: Simplify right side
    9,898.46x = 83,572,498.97
  5. Step 5: Solve for x
    x = 83,572,498.97/9,898.46
  6. Step 6: Final answer
    x = 8,442.98

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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.