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Finding the Fourth Proportional to 9,156.64, 13,736.04 and 6,862.72

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Solution

The fourth proportional to 9,156.64, 13,736.04 and 6,862.72 is: 10,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.64 : 13,736.04 = 6,862.72 : x
  2. Step 2: Convert to fraction form
    9,156.64/13,736.04 = 6,862.72/x
  3. Step 3: Cross multiply
    9,156.64x = 13,736.04 × 6,862.72
  4. Step 4: Simplify right side
    9,156.64x = 94,266,596.43
  5. Step 5: Solve for x
    x = 94,266,596.43/9,156.64
  6. Step 6: Final answer
    x = 10,294.89

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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.