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Finding the Fourth Proportional to 10,339.13, 14,270.04 and 6,566.71

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Solution

The fourth proportional to 10,339.13, 14,270.04 and 6,566.71 is: 9,063.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.13 : 14,270.04 = 6,566.71 : x
  2. Step 2: Convert to fraction form
    10,339.13/14,270.04 = 6,566.71/x
  3. Step 3: Cross multiply
    10,339.13x = 14,270.04 × 6,566.71
  4. Step 4: Simplify right side
    10,339.13x = 93,707,214.37
  5. Step 5: Solve for x
    x = 93,707,214.37/10,339.13
  6. Step 6: Final answer
    x = 9,063.36

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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.