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Finding the Fourth Proportional to 6,581.40, 9,088.23 and 6,122.13

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Solution

The fourth proportional to 6,581.40, 9,088.23 and 6,122.13 is: 8,454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.40 : 9,088.23 = 6,122.13 : x
  2. Step 2: Convert to fraction form
    6,581.40/9,088.23 = 6,122.13/x
  3. Step 3: Cross multiply
    6,581.40x = 9,088.23 × 6,122.13
  4. Step 4: Simplify right side
    6,581.40x = 55,639,325.53
  5. Step 5: Solve for x
    x = 55,639,325.53/6,581.40
  6. Step 6: Final answer
    x = 8,454.03

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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.