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Finding the Fourth Proportional to 6,571.74, 9,069.22 and 3,587.74

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Solution

The fourth proportional to 6,571.74, 9,069.22 and 3,587.74 is: 4,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.74 : 9,069.22 = 3,587.74 : x
  2. Step 2: Convert to fraction form
    6,571.74/9,069.22 = 3,587.74/x
  3. Step 3: Cross multiply
    6,571.74x = 9,069.22 × 3,587.74
  4. Step 4: Simplify right side
    6,571.74x = 32,537,985.17
  5. Step 5: Solve for x
    x = 32,537,985.17/6,571.74
  6. Step 6: Final answer
    x = 4,951.20

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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.