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Finding the Fourth Proportional to 6,617.40, 9,125.91 and 4,496.10

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Solution

The fourth proportional to 6,617.40, 9,125.91 and 4,496.10 is: 6,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.40 : 9,125.91 = 4,496.10 : x
  2. Step 2: Convert to fraction form
    6,617.40/9,125.91 = 4,496.10/x
  3. Step 3: Cross multiply
    6,617.40x = 9,125.91 × 4,496.10
  4. Step 4: Simplify right side
    6,617.40x = 41,030,992.71
  5. Step 5: Solve for x
    x = 41,030,992.71/6,617.40
  6. Step 6: Final answer
    x = 6,200.48

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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.