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Finding the Fourth Proportional to 9,897.23, 13,654.41 and 6,119.18

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Solution

The fourth proportional to 9,897.23, 13,654.41 and 6,119.18 is: 8,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.23 : 13,654.41 = 6,119.18 : x
  2. Step 2: Convert to fraction form
    9,897.23/13,654.41 = 6,119.18/x
  3. Step 3: Cross multiply
    9,897.23x = 13,654.41 × 6,119.18
  4. Step 4: Simplify right side
    9,897.23x = 83,553,724.31
  5. Step 5: Solve for x
    x = 83,553,724.31/9,897.23
  6. Step 6: Final answer
    x = 8,442.14

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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.