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Finding the Fourth Proportional to 9,069.24, 12,518.70 and 5,343

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Solution

The fourth proportional to 9,069.24, 12,518.70 and 5,343 is: 7,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.24 : 12,518.70 = 5,343 : x
  2. Step 2: Convert to fraction form
    9,069.24/12,518.70 = 5,343/x
  3. Step 3: Cross multiply
    9,069.24x = 12,518.70 × 5,343
  4. Step 4: Simplify right side
    9,069.24x = 66,887,414.10
  5. Step 5: Solve for x
    x = 66,887,414.10/9,069.24
  6. Step 6: Final answer
    x = 7,375.20

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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.