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Finding the Fourth Proportional to 6,627.40, 9,145.02 and 3,642.74

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Solution

The fourth proportional to 6,627.40, 9,145.02 and 3,642.74 is: 5,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.40 : 9,145.02 = 3,642.74 : x
  2. Step 2: Convert to fraction form
    6,627.40/9,145.02 = 3,642.74/x
  3. Step 3: Cross multiply
    6,627.40x = 9,145.02 × 3,642.74
  4. Step 4: Simplify right side
    6,627.40x = 33,312,930.15
  5. Step 5: Solve for x
    x = 33,312,930.15/6,627.40
  6. Step 6: Final answer
    x = 5,026.55

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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.