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Finding the Fourth Proportional to 6,295.40, 9,429.88 and 3,005.18

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Solution

The fourth proportional to 6,295.40, 9,429.88 and 3,005.18 is: 4,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.40 : 9,429.88 = 3,005.18 : x
  2. Step 2: Convert to fraction form
    6,295.40/9,429.88 = 3,005.18/x
  3. Step 3: Cross multiply
    6,295.40x = 9,429.88 × 3,005.18
  4. Step 4: Simplify right side
    6,295.40x = 28,338,486.78
  5. Step 5: Solve for x
    x = 28,338,486.78/6,295.40
  6. Step 6: Final answer
    x = 4,501.46

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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.