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Finding the Fourth Proportional to 10,446.01, 15,648.14 and 6,283.73

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Solution

The fourth proportional to 10,446.01, 15,648.14 and 6,283.73 is: 9,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.01 : 15,648.14 = 6,283.73 : x
  2. Step 2: Convert to fraction form
    10,446.01/15,648.14 = 6,283.73/x
  3. Step 3: Cross multiply
    10,446.01x = 15,648.14 × 6,283.73
  4. Step 4: Simplify right side
    10,446.01x = 98,328,741.59
  5. Step 5: Solve for x
    x = 98,328,741.59/10,446.01
  6. Step 6: Final answer
    x = 9,413.05

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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.