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Finding the Fourth Proportional to 9,470.40, 13,068.88 and 5,278.56

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Solution

The fourth proportional to 9,470.40, 13,068.88 and 5,278.56 is: 7,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.40 : 13,068.88 = 5,278.56 : x
  2. Step 2: Convert to fraction form
    9,470.40/13,068.88 = 5,278.56/x
  3. Step 3: Cross multiply
    9,470.40x = 13,068.88 × 5,278.56
  4. Step 4: Simplify right side
    9,470.40x = 68,984,867.21
  5. Step 5: Solve for x
    x = 68,984,867.21/9,470.40
  6. Step 6: Final answer
    x = 7,284.26

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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.