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Finding the Fourth Proportional to 7,189.30, 9,920.91 and 4,356.64

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Solution

The fourth proportional to 7,189.30, 9,920.91 and 4,356.64 is: 6,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.30 : 9,920.91 = 4,356.64 : x
  2. Step 2: Convert to fraction form
    7,189.30/9,920.91 = 4,356.64/x
  3. Step 3: Cross multiply
    7,189.30x = 9,920.91 × 4,356.64
  4. Step 4: Simplify right side
    7,189.30x = 43,221,833.34
  5. Step 5: Solve for x
    x = 43,221,833.34/7,189.30
  6. Step 6: Final answer
    x = 6,011.97

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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.