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Finding the Fourth Proportional to 9,142.75, 12,624.13 and 7,014.90

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Solution

The fourth proportional to 9,142.75, 12,624.13 and 7,014.90 is: 9,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.75 : 12,624.13 = 7,014.90 : x
  2. Step 2: Convert to fraction form
    9,142.75/12,624.13 = 7,014.90/x
  3. Step 3: Cross multiply
    9,142.75x = 12,624.13 × 7,014.90
  4. Step 4: Simplify right side
    9,142.75x = 88,556,974.46
  5. Step 5: Solve for x
    x = 88,556,974.46/9,142.75
  6. Step 6: Final answer
    x = 9,686.03

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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.