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Finding the Fourth Proportional to 9,899.32, 14,856.24 and 7,974.76

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Solution

The fourth proportional to 9,899.32, 14,856.24 and 7,974.76 is: 11,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.32 : 14,856.24 = 7,974.76 : x
  2. Step 2: Convert to fraction form
    9,899.32/14,856.24 = 7,974.76/x
  3. Step 3: Cross multiply
    9,899.32x = 14,856.24 × 7,974.76
  4. Step 4: Simplify right side
    9,899.32x = 118,474,948.50
  5. Step 5: Solve for x
    x = 118,474,948.50/9,899.32
  6. Step 6: Final answer
    x = 11,967.99

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Why These Related Problems?

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