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Finding the Fourth Proportional to 10,349.40, 14,284.17 and 6,812.40

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Solution

The fourth proportional to 10,349.40, 14,284.17 and 6,812.40 is: 9,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.40 : 14,284.17 = 6,812.40 : x
  2. Step 2: Convert to fraction form
    10,349.40/14,284.17 = 6,812.40/x
  3. Step 3: Cross multiply
    10,349.40x = 14,284.17 × 6,812.40
  4. Step 4: Simplify right side
    10,349.40x = 97,309,479.71
  5. Step 5: Solve for x
    x = 97,309,479.71/10,349.40
  6. Step 6: Final answer
    x = 9,402.43

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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.