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Finding the Fourth Proportional to 9,966.30, 13,748.31 and 5,773.02

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Solution

The fourth proportional to 9,966.30, 13,748.31 and 5,773.02 is: 7,963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.30 : 13,748.31 = 5,773.02 : x
  2. Step 2: Convert to fraction form
    9,966.30/13,748.31 = 5,773.02/x
  3. Step 3: Cross multiply
    9,966.30x = 13,748.31 × 5,773.02
  4. Step 4: Simplify right side
    9,966.30x = 79,369,268.60
  5. Step 5: Solve for x
    x = 79,369,268.60/9,966.30
  6. Step 6: Final answer
    x = 7,963.76

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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.