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Finding the Fourth Proportional to 6,502.06, 8,977.25 and 4,267.74

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Solution

The fourth proportional to 6,502.06, 8,977.25 and 4,267.74 is: 5,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.06 : 8,977.25 = 4,267.74 : x
  2. Step 2: Convert to fraction form
    6,502.06/8,977.25 = 4,267.74/x
  3. Step 3: Cross multiply
    6,502.06x = 8,977.25 × 4,267.74
  4. Step 4: Simplify right side
    6,502.06x = 38,312,538.75
  5. Step 5: Solve for x
    x = 38,312,538.75/6,502.06
  6. Step 6: Final answer
    x = 5,892.37

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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.