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Finding the Fourth Proportional to 9,420.43, 12,967.57 and 8,143.72

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Solution

The fourth proportional to 9,420.43, 12,967.57 and 8,143.72 is: 11,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.43 : 12,967.57 = 8,143.72 : x
  2. Step 2: Convert to fraction form
    9,420.43/12,967.57 = 8,143.72/x
  3. Step 3: Cross multiply
    9,420.43x = 12,967.57 × 8,143.72
  4. Step 4: Simplify right side
    9,420.43x = 105,604,259.16
  5. Step 5: Solve for x
    x = 105,604,259.16/9,420.43
  6. Step 6: Final answer
    x = 11,210.13

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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.