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Finding the Fourth Proportional to 6,882.94, 9,499.26 and 4,088.44

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Solution

The fourth proportional to 6,882.94, 9,499.26 and 4,088.44 is: 5,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.94 : 9,499.26 = 4,088.44 : x
  2. Step 2: Convert to fraction form
    6,882.94/9,499.26 = 4,088.44/x
  3. Step 3: Cross multiply
    6,882.94x = 9,499.26 × 4,088.44
  4. Step 4: Simplify right side
    6,882.94x = 38,837,154.55
  5. Step 5: Solve for x
    x = 38,837,154.55/6,882.94
  6. Step 6: Final answer
    x = 5,642.52

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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.