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Finding the Fourth Proportional to 9,470.61, 13,069.35 and 5,278.86

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Solution

The fourth proportional to 9,470.61, 13,069.35 and 5,278.86 is: 7,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.61 : 13,069.35 = 5,278.86 : x
  2. Step 2: Convert to fraction form
    9,470.61/13,069.35 = 5,278.86/x
  3. Step 3: Cross multiply
    9,470.61x = 13,069.35 × 5,278.86
  4. Step 4: Simplify right side
    9,470.61x = 68,991,268.94
  5. Step 5: Solve for x
    x = 68,991,268.94/9,470.61
  6. Step 6: Final answer
    x = 7,284.78

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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.