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Finding the Fourth Proportional to 9,122.82, 12,589.50 and 4,931.08

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Solution

The fourth proportional to 9,122.82, 12,589.50 and 4,931.08 is: 6,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.82 : 12,589.50 = 4,931.08 : x
  2. Step 2: Convert to fraction form
    9,122.82/12,589.50 = 4,931.08/x
  3. Step 3: Cross multiply
    9,122.82x = 12,589.50 × 4,931.08
  4. Step 4: Simplify right side
    9,122.82x = 62,079,831.66
  5. Step 5: Solve for x
    x = 62,079,831.66/9,122.82
  6. Step 6: Final answer
    x = 6,804.89

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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.