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Finding the Fourth Proportional to 9,301.61, 12,836.49 and 5,052.94

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Solution

The fourth proportional to 9,301.61, 12,836.49 and 5,052.94 is: 6,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.61 : 12,836.49 = 5,052.94 : x
  2. Step 2: Convert to fraction form
    9,301.61/12,836.49 = 5,052.94/x
  3. Step 3: Cross multiply
    9,301.61x = 12,836.49 × 5,052.94
  4. Step 4: Simplify right side
    9,301.61x = 64,862,010.85
  5. Step 5: Solve for x
    x = 64,862,010.85/9,301.61
  6. Step 6: Final answer
    x = 6,973.20

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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.