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Finding the Fourth Proportional to 9,856.89, 14,761.28 and 5,180.81

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Solution

The fourth proportional to 9,856.89, 14,761.28 and 5,180.81 is: 7,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.89 : 14,761.28 = 5,180.81 : x
  2. Step 2: Convert to fraction form
    9,856.89/14,761.28 = 5,180.81/x
  3. Step 3: Cross multiply
    9,856.89x = 14,761.28 × 5,180.81
  4. Step 4: Simplify right side
    9,856.89x = 76,475,326.18
  5. Step 5: Solve for x
    x = 76,475,326.18/9,856.89
  6. Step 6: Final answer
    x = 7,758.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.