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Finding the Fourth Proportional to 10,449.32, 14,421.06 and 5,972.22

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Solution

The fourth proportional to 10,449.32, 14,421.06 and 5,972.22 is: 8,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.32 : 14,421.06 = 5,972.22 : x
  2. Step 2: Convert to fraction form
    10,449.32/14,421.06 = 5,972.22/x
  3. Step 3: Cross multiply
    10,449.32x = 14,421.06 × 5,972.22
  4. Step 4: Simplify right side
    10,449.32x = 86,125,742.95
  5. Step 5: Solve for x
    x = 86,125,742.95/10,449.32
  6. Step 6: Final answer
    x = 8,242.24

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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.