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Finding the Fourth Proportional to 9,278.70, 13,924.88 and 6,820.16

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Solution

The fourth proportional to 9,278.70, 13,924.88 and 6,820.16 is: 10,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.70 : 13,924.88 = 6,820.16 : x
  2. Step 2: Convert to fraction form
    9,278.70/13,924.88 = 6,820.16/x
  3. Step 3: Cross multiply
    9,278.70x = 13,924.88 × 6,820.16
  4. Step 4: Simplify right side
    9,278.70x = 94,969,909.58
  5. Step 5: Solve for x
    x = 94,969,909.58/9,278.70
  6. Step 6: Final answer
    x = 10,235.26

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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.