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Finding the Fourth Proportional to 9,031.50, 12,456.48 and 6,901.74

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Solution

The fourth proportional to 9,031.50, 12,456.48 and 6,901.74 is: 9,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.50 : 12,456.48 = 6,901.74 : x
  2. Step 2: Convert to fraction form
    9,031.50/12,456.48 = 6,901.74/x
  3. Step 3: Cross multiply
    9,031.50x = 12,456.48 × 6,901.74
  4. Step 4: Simplify right side
    9,031.50x = 85,971,386.28
  5. Step 5: Solve for x
    x = 85,971,386.28/9,031.50
  6. Step 6: Final answer
    x = 9,519.06

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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.