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Finding the Fourth Proportional to 9,501.82, 14,237.15 and 6,714.88

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Solution

The fourth proportional to 9,501.82, 14,237.15 and 6,714.88 is: 10,061.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.82 : 14,237.15 = 6,714.88 : x
  2. Step 2: Convert to fraction form
    9,501.82/14,237.15 = 6,714.88/x
  3. Step 3: Cross multiply
    9,501.82x = 14,237.15 × 6,714.88
  4. Step 4: Simplify right side
    9,501.82x = 95,600,684.62
  5. Step 5: Solve for x
    x = 95,600,684.62/9,501.82
  6. Step 6: Final answer
    x = 10,061.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.