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Finding the Fourth Proportional to 9,175.30, 12,663.93 and 6,031.78

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Solution

The fourth proportional to 9,175.30, 12,663.93 and 6,031.78 is: 8,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.30 : 12,663.93 = 6,031.78 : x
  2. Step 2: Convert to fraction form
    9,175.30/12,663.93 = 6,031.78/x
  3. Step 3: Cross multiply
    9,175.30x = 12,663.93 × 6,031.78
  4. Step 4: Simplify right side
    9,175.30x = 76,386,039.70
  5. Step 5: Solve for x
    x = 76,386,039.70/9,175.30
  6. Step 6: Final answer
    x = 8,325.18

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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.