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Finding the Fourth Proportional to 8,409.06, 12,614.13 and 6,437.52

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Solution

The fourth proportional to 8,409.06, 12,614.13 and 6,437.52 is: 9,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.06 : 12,614.13 = 6,437.52 : x
  2. Step 2: Convert to fraction form
    8,409.06/12,614.13 = 6,437.52/x
  3. Step 3: Cross multiply
    8,409.06x = 12,614.13 × 6,437.52
  4. Step 4: Simplify right side
    8,409.06x = 81,203,714.16
  5. Step 5: Solve for x
    x = 81,203,714.16/8,409.06
  6. Step 6: Final answer
    x = 9,656.69

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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.