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Finding the Fourth Proportional to 9,560.46, 14,396.85 and 8,342.40

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Solution

The fourth proportional to 9,560.46, 14,396.85 and 8,342.40 is: 12,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.46 : 14,396.85 = 8,342.40 : x
  2. Step 2: Convert to fraction form
    9,560.46/14,396.85 = 8,342.40/x
  3. Step 3: Cross multiply
    9,560.46x = 14,396.85 × 8,342.40
  4. Step 4: Simplify right side
    9,560.46x = 120,104,281.44
  5. Step 5: Solve for x
    x = 120,104,281.44/9,560.46
  6. Step 6: Final answer
    x = 12,562.60

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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.