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Finding the Fourth Proportional to 9,965.01, 13,748.29 and 6,132.72

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Solution

The fourth proportional to 9,965.01, 13,748.29 and 6,132.72 is: 8,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.01 : 13,748.29 = 6,132.72 : x
  2. Step 2: Convert to fraction form
    9,965.01/13,748.29 = 6,132.72/x
  3. Step 3: Cross multiply
    9,965.01x = 13,748.29 × 6,132.72
  4. Step 4: Simplify right side
    9,965.01x = 84,314,449.27
  5. Step 5: Solve for x
    x = 84,314,449.27/9,965.01
  6. Step 6: Final answer
    x = 8,461.05

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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.