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Finding the Fourth Proportional to 9,523.32, 14,280.41 and 5,465.70

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Solution

The fourth proportional to 9,523.32, 14,280.41 and 5,465.70 is: 8,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.32 : 14,280.41 = 5,465.70 : x
  2. Step 2: Convert to fraction form
    9,523.32/14,280.41 = 5,465.70/x
  3. Step 3: Cross multiply
    9,523.32x = 14,280.41 × 5,465.70
  4. Step 4: Simplify right side
    9,523.32x = 78,052,409.61
  5. Step 5: Solve for x
    x = 78,052,409.61/9,523.32
  6. Step 6: Final answer
    x = 8,195.92

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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.