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Finding the Fourth Proportional to 6,383.20, 9,574.80 and 4,925.20

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Solution

The fourth proportional to 6,383.20, 9,574.80 and 4,925.20 is: 7,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.20 : 9,574.80 = 4,925.20 : x
  2. Step 2: Convert to fraction form
    6,383.20/9,574.80 = 4,925.20/x
  3. Step 3: Cross multiply
    6,383.20x = 9,574.80 × 4,925.20
  4. Step 4: Simplify right side
    6,383.20x = 47,157,804.96
  5. Step 5: Solve for x
    x = 47,157,804.96/6,383.20
  6. Step 6: Final answer
    x = 7,387.80

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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.