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Finding the Fourth Proportional to 6,971.93, 10,459.17 and 2,292.20

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Solution

The fourth proportional to 6,971.93, 10,459.17 and 2,292.20 is: 3,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.93 : 10,459.17 = 2,292.20 : x
  2. Step 2: Convert to fraction form
    6,971.93/10,459.17 = 2,292.20/x
  3. Step 3: Cross multiply
    6,971.93x = 10,459.17 × 2,292.20
  4. Step 4: Simplify right side
    6,971.93x = 23,974,509.47
  5. Step 5: Solve for x
    x = 23,974,509.47/6,971.93
  6. Step 6: Final answer
    x = 3,438.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.