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Finding the Fourth Proportional to 9,901.98, 13,659.62 and 6,714.20

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Solution

The fourth proportional to 9,901.98, 13,659.62 and 6,714.20 is: 9,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.98 : 13,659.62 = 6,714.20 : x
  2. Step 2: Convert to fraction form
    9,901.98/13,659.62 = 6,714.20/x
  3. Step 3: Cross multiply
    9,901.98x = 13,659.62 × 6,714.20
  4. Step 4: Simplify right side
    9,901.98x = 91,713,352.31
  5. Step 5: Solve for x
    x = 91,713,352.31/9,901.98
  6. Step 6: Final answer
    x = 9,262.13

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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.