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Finding the Fourth Proportional to 10,294.83, 15,444.44 and 3,969.87

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Solution

The fourth proportional to 10,294.83, 15,444.44 and 3,969.87 is: 5,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.83 : 15,444.44 = 3,969.87 : x
  2. Step 2: Convert to fraction form
    10,294.83/15,444.44 = 3,969.87/x
  3. Step 3: Cross multiply
    10,294.83x = 15,444.44 × 3,969.87
  4. Step 4: Simplify right side
    10,294.83x = 61,312,419.02
  5. Step 5: Solve for x
    x = 61,312,419.02/10,294.83
  6. Step 6: Final answer
    x = 5,955.65

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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.