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Finding the Fourth Proportional to 6,842.57, 9,436.45 and 4,320.32

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Solution

The fourth proportional to 6,842.57, 9,436.45 and 4,320.32 is: 5,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.57 : 9,436.45 = 4,320.32 : x
  2. Step 2: Convert to fraction form
    6,842.57/9,436.45 = 4,320.32/x
  3. Step 3: Cross multiply
    6,842.57x = 9,436.45 × 4,320.32
  4. Step 4: Simplify right side
    6,842.57x = 40,768,483.66
  5. Step 5: Solve for x
    x = 40,768,483.66/6,842.57
  6. Step 6: Final answer
    x = 5,958.07

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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.