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Finding the Fourth Proportional to 7,126.08, 9,836.74 and 6,378.72

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Solution

The fourth proportional to 7,126.08, 9,836.74 and 6,378.72 is: 8,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.08 : 9,836.74 = 6,378.72 : x
  2. Step 2: Convert to fraction form
    7,126.08/9,836.74 = 6,378.72/x
  3. Step 3: Cross multiply
    7,126.08x = 9,836.74 × 6,378.72
  4. Step 4: Simplify right side
    7,126.08x = 62,745,810.17
  5. Step 5: Solve for x
    x = 62,745,810.17/7,126.08
  6. Step 6: Final answer
    x = 8,805.09

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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.