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Finding the Fourth Proportional to 6,368.24, 9,543.62 and 4,806.92

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Solution

The fourth proportional to 6,368.24, 9,543.62 and 4,806.92 is: 7,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.24 : 9,543.62 = 4,806.92 : x
  2. Step 2: Convert to fraction form
    6,368.24/9,543.62 = 4,806.92/x
  3. Step 3: Cross multiply
    6,368.24x = 9,543.62 × 4,806.92
  4. Step 4: Simplify right side
    6,368.24x = 45,875,417.85
  5. Step 5: Solve for x
    x = 45,875,417.85/6,368.24
  6. Step 6: Final answer
    x = 7,203.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.