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Finding the Fourth Proportional to 6,284.52, 9,430.40 and 3,362.80

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Solution

The fourth proportional to 6,284.52, 9,430.40 and 3,362.80 is: 5,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.52 : 9,430.40 = 3,362.80 : x
  2. Step 2: Convert to fraction form
    6,284.52/9,430.40 = 3,362.80/x
  3. Step 3: Cross multiply
    6,284.52x = 9,430.40 × 3,362.80
  4. Step 4: Simplify right side
    6,284.52x = 31,712,549.12
  5. Step 5: Solve for x
    x = 31,712,549.12/6,284.52
  6. Step 6: Final answer
    x = 5,046.14

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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.