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Finding the Fourth Proportional to 7,040.47, 9,714.12 and 4,314.26

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Solution

The fourth proportional to 7,040.47, 9,714.12 and 4,314.26 is: 5,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.47 : 9,714.12 = 4,314.26 : x
  2. Step 2: Convert to fraction form
    7,040.47/9,714.12 = 4,314.26/x
  3. Step 3: Cross multiply
    7,040.47x = 9,714.12 × 4,314.26
  4. Step 4: Simplify right side
    7,040.47x = 41,909,239.35
  5. Step 5: Solve for x
    x = 41,909,239.35/7,040.47
  6. Step 6: Final answer
    x = 5,952.62

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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.