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Finding the Fourth Proportional to 9,331.16, 12,872.94 and 5,603

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Solution

The fourth proportional to 9,331.16, 12,872.94 and 5,603 is: 7,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.16 : 12,872.94 = 5,603 : x
  2. Step 2: Convert to fraction form
    9,331.16/12,872.94 = 5,603/x
  3. Step 3: Cross multiply
    9,331.16x = 12,872.94 × 5,603
  4. Step 4: Simplify right side
    9,331.16x = 72,127,082.82
  5. Step 5: Solve for x
    x = 72,127,082.82/9,331.16
  6. Step 6: Final answer
    x = 7,729.70

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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.