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Finding the Fourth Proportional to 7,180.22, 9,909.12 and 4,036.40

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Solution

The fourth proportional to 7,180.22, 9,909.12 and 4,036.40 is: 5,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.22 : 9,909.12 = 4,036.40 : x
  2. Step 2: Convert to fraction form
    7,180.22/9,909.12 = 4,036.40/x
  3. Step 3: Cross multiply
    7,180.22x = 9,909.12 × 4,036.40
  4. Step 4: Simplify right side
    7,180.22x = 39,997,171.97
  5. Step 5: Solve for x
    x = 39,997,171.97/7,180.22
  6. Step 6: Final answer
    x = 5,570.47

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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.