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Finding the Fourth Proportional to 8,971.30, 13,457.01 and 3,423.15

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Solution

The fourth proportional to 8,971.30, 13,457.01 and 3,423.15 is: 5,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.30 : 13,457.01 = 3,423.15 : x
  2. Step 2: Convert to fraction form
    8,971.30/13,457.01 = 3,423.15/x
  3. Step 3: Cross multiply
    8,971.30x = 13,457.01 × 3,423.15
  4. Step 4: Simplify right side
    8,971.30x = 46,065,363.78
  5. Step 5: Solve for x
    x = 46,065,363.78/8,971.30
  6. Step 6: Final answer
    x = 5,134.75

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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.