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Finding the Fourth Proportional to 9,520.04, 14,284.86 and 5,364.68

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Solution

The fourth proportional to 9,520.04, 14,284.86 and 5,364.68 is: 8,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.04 : 14,284.86 = 5,364.68 : x
  2. Step 2: Convert to fraction form
    9,520.04/14,284.86 = 5,364.68/x
  3. Step 3: Cross multiply
    9,520.04x = 14,284.86 × 5,364.68
  4. Step 4: Simplify right side
    9,520.04x = 76,633,702.74
  5. Step 5: Solve for x
    x = 76,633,702.74/9,520.04
  6. Step 6: Final answer
    x = 8,049.72

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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.