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Finding the Fourth Proportional to 10,339.76, 14,261.22 and 6,559.66

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Solution

The fourth proportional to 10,339.76, 14,261.22 and 6,559.66 is: 9,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.76 : 14,261.22 = 6,559.66 : x
  2. Step 2: Convert to fraction form
    10,339.76/14,261.22 = 6,559.66/x
  3. Step 3: Cross multiply
    10,339.76x = 14,261.22 × 6,559.66
  4. Step 4: Simplify right side
    10,339.76x = 93,548,694.13
  5. Step 5: Solve for x
    x = 93,548,694.13/10,339.76
  6. Step 6: Final answer
    x = 9,047.48

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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.