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Finding the Fourth Proportional to 10,470.56, 14,421.29 and 9,682.29

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Solution

The fourth proportional to 10,470.56, 14,421.29 and 9,682.29 is: 13,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.56 : 14,421.29 = 9,682.29 : x
  2. Step 2: Convert to fraction form
    10,470.56/14,421.29 = 9,682.29/x
  3. Step 3: Cross multiply
    10,470.56x = 14,421.29 × 9,682.29
  4. Step 4: Simplify right side
    10,470.56x = 139,631,063.54
  5. Step 5: Solve for x
    x = 139,631,063.54/10,470.56
  6. Step 6: Final answer
    x = 13,335.59

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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.