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Finding the Fourth Proportional to 10,347.69, 15,442.01 and 9,240.46

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Solution

The fourth proportional to 10,347.69, 15,442.01 and 9,240.46 is: 13,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.69 : 15,442.01 = 9,240.46 : x
  2. Step 2: Convert to fraction form
    10,347.69/15,442.01 = 9,240.46/x
  3. Step 3: Cross multiply
    10,347.69x = 15,442.01 × 9,240.46
  4. Step 4: Simplify right side
    10,347.69x = 142,691,275.72
  5. Step 5: Solve for x
    x = 142,691,275.72/10,347.69
  6. Step 6: Final answer
    x = 13,789.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.