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Finding the Fourth Proportional to 6,803.30, 9,387.98 and 4,115.52

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Solution

The fourth proportional to 6,803.30, 9,387.98 and 4,115.52 is: 5,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.30 : 9,387.98 = 4,115.52 : x
  2. Step 2: Convert to fraction form
    6,803.30/9,387.98 = 4,115.52/x
  3. Step 3: Cross multiply
    6,803.30x = 9,387.98 × 4,115.52
  4. Step 4: Simplify right side
    6,803.30x = 38,636,419.45
  5. Step 5: Solve for x
    x = 38,636,419.45/6,803.30
  6. Step 6: Final answer
    x = 5,679.07

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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.