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Finding the Fourth Proportional to 9,561.46, 14,398.36 and 8,343.40

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Solution

The fourth proportional to 9,561.46, 14,398.36 and 8,343.40 is: 12,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.46 : 14,398.36 = 8,343.40 : x
  2. Step 2: Convert to fraction form
    9,561.46/14,398.36 = 8,343.40/x
  3. Step 3: Cross multiply
    9,561.46x = 14,398.36 × 8,343.40
  4. Step 4: Simplify right side
    9,561.46x = 120,131,276.82
  5. Step 5: Solve for x
    x = 120,131,276.82/9,561.46
  6. Step 6: Final answer
    x = 12,564.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.