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Finding the Fourth Proportional to 9,119.40, 12,584.76 and 4,927.65

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Solution

The fourth proportional to 9,119.40, 12,584.76 and 4,927.65 is: 6,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.40 : 12,584.76 = 4,927.65 : x
  2. Step 2: Convert to fraction form
    9,119.40/12,584.76 = 4,927.65/x
  3. Step 3: Cross multiply
    9,119.40x = 12,584.76 × 4,927.65
  4. Step 4: Simplify right side
    9,119.40x = 62,013,292.61
  5. Step 5: Solve for x
    x = 62,013,292.61/9,119.40
  6. Step 6: Final answer
    x = 6,800.15

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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.