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Finding the Fourth Proportional to 9,900.64, 14,853.06 and 4,057.24

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Solution

The fourth proportional to 9,900.64, 14,853.06 and 4,057.24 is: 6,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.64 : 14,853.06 = 4,057.24 : x
  2. Step 2: Convert to fraction form
    9,900.64/14,853.06 = 4,057.24/x
  3. Step 3: Cross multiply
    9,900.64x = 14,853.06 × 4,057.24
  4. Step 4: Simplify right side
    9,900.64x = 60,262,429.15
  5. Step 5: Solve for x
    x = 60,262,429.15/9,900.64
  6. Step 6: Final answer
    x = 6,086.72

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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.