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Finding the Fourth Proportional to 9,760.91, 13,470.08 and 5,284.67

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Solution

The fourth proportional to 9,760.91, 13,470.08 and 5,284.67 is: 7,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.91 : 13,470.08 = 5,284.67 : x
  2. Step 2: Convert to fraction form
    9,760.91/13,470.08 = 5,284.67/x
  3. Step 3: Cross multiply
    9,760.91x = 13,470.08 × 5,284.67
  4. Step 4: Simplify right side
    9,760.91x = 71,184,833.90
  5. Step 5: Solve for x
    x = 71,184,833.90/9,760.91
  6. Step 6: Final answer
    x = 7,292.85

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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.