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Finding the Fourth Proportional to 9,122.75, 12,589.40 and 4,931

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Solution

The fourth proportional to 9,122.75, 12,589.40 and 4,931 is: 6,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.75 : 12,589.40 = 4,931 : x
  2. Step 2: Convert to fraction form
    9,122.75/12,589.40 = 4,931/x
  3. Step 3: Cross multiply
    9,122.75x = 12,589.40 × 4,931
  4. Step 4: Simplify right side
    9,122.75x = 62,078,331.40
  5. Step 5: Solve for x
    x = 62,078,331.40/9,122.75
  6. Step 6: Final answer
    x = 6,804.78

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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.