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Finding the Fourth Proportional to 9,131.76, 12,590.10 and 7,451.46

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Solution

The fourth proportional to 9,131.76, 12,590.10 and 7,451.46 is: 10,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.76 : 12,590.10 = 7,451.46 : x
  2. Step 2: Convert to fraction form
    9,131.76/12,590.10 = 7,451.46/x
  3. Step 3: Cross multiply
    9,131.76x = 12,590.10 × 7,451.46
  4. Step 4: Simplify right side
    9,131.76x = 93,814,626.55
  5. Step 5: Solve for x
    x = 93,814,626.55/9,131.76
  6. Step 6: Final answer
    x = 10,273.44

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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.