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Finding the Fourth Proportional to 9,890.46, 14,822.78 and 7,541.87

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Solution

The fourth proportional to 9,890.46, 14,822.78 and 7,541.87 is: 11,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.46 : 14,822.78 = 7,541.87 : x
  2. Step 2: Convert to fraction form
    9,890.46/14,822.78 = 7,541.87/x
  3. Step 3: Cross multiply
    9,890.46x = 14,822.78 × 7,541.87
  4. Step 4: Simplify right side
    9,890.46x = 111,791,367.98
  5. Step 5: Solve for x
    x = 111,791,367.98/9,890.46
  6. Step 6: Final answer
    x = 11,302.95

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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.