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Finding the Fourth Proportional to 10,339.32, 14,260.62 and 6,559.22

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Solution

The fourth proportional to 10,339.32, 14,260.62 and 6,559.22 is: 9,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.32 : 14,260.62 = 6,559.22 : x
  2. Step 2: Convert to fraction form
    10,339.32/14,260.62 = 6,559.22/x
  3. Step 3: Cross multiply
    10,339.32x = 14,260.62 × 6,559.22
  4. Step 4: Simplify right side
    10,339.32x = 93,538,511.12
  5. Step 5: Solve for x
    x = 93,538,511.12/10,339.32
  6. Step 6: Final answer
    x = 9,046.88

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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.