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Finding the Fourth Proportional to 9,445.34, 14,150.39 and 6,316.13

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Solution

The fourth proportional to 9,445.34, 14,150.39 and 6,316.13 is: 9,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.34 : 14,150.39 = 6,316.13 : x
  2. Step 2: Convert to fraction form
    9,445.34/14,150.39 = 6,316.13/x
  3. Step 3: Cross multiply
    9,445.34x = 14,150.39 × 6,316.13
  4. Step 4: Simplify right side
    9,445.34x = 89,375,600.46
  5. Step 5: Solve for x
    x = 89,375,600.46/9,445.34
  6. Step 6: Final answer
    x = 9,462.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.