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Finding the Fourth Proportional to 10,402.26, 14,345.76 and 6,869.04

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Solution

The fourth proportional to 10,402.26, 14,345.76 and 6,869.04 is: 9,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.26 : 14,345.76 = 6,869.04 : x
  2. Step 2: Convert to fraction form
    10,402.26/14,345.76 = 6,869.04/x
  3. Step 3: Cross multiply
    10,402.26x = 14,345.76 × 6,869.04
  4. Step 4: Simplify right side
    10,402.26x = 98,541,599.27
  5. Step 5: Solve for x
    x = 98,541,599.27/10,402.26
  6. Step 6: Final answer
    x = 9,473.10

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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.