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Finding the Fourth Proportional to 7,026.60, 9,701.46 and 6,278.16

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Solution

The fourth proportional to 7,026.60, 9,701.46 and 6,278.16 is: 8,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.60 : 9,701.46 = 6,278.16 : x
  2. Step 2: Convert to fraction form
    7,026.60/9,701.46 = 6,278.16/x
  3. Step 3: Cross multiply
    7,026.60x = 9,701.46 × 6,278.16
  4. Step 4: Simplify right side
    7,026.60x = 60,907,318.11
  5. Step 5: Solve for x
    x = 60,907,318.11/7,026.60
  6. Step 6: Final answer
    x = 8,668.11

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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.