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Finding the Fourth Proportional to 9,216.85, 12,719.13 and 5,440

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Solution

The fourth proportional to 9,216.85, 12,719.13 and 5,440 is: 7,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.85 : 12,719.13 = 5,440 : x
  2. Step 2: Convert to fraction form
    9,216.85/12,719.13 = 5,440/x
  3. Step 3: Cross multiply
    9,216.85x = 12,719.13 × 5,440
  4. Step 4: Simplify right side
    9,216.85x = 69,192,067.20
  5. Step 5: Solve for x
    x = 69,192,067.20/9,216.85
  6. Step 6: Final answer
    x = 7,507.13

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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.