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Finding the Fourth Proportional to 9,433.80, 13,019.37 and 5,657.11

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Solution

The fourth proportional to 9,433.80, 13,019.37 and 5,657.11 is: 7,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.80 : 13,019.37 = 5,657.11 : x
  2. Step 2: Convert to fraction form
    9,433.80/13,019.37 = 5,657.11/x
  3. Step 3: Cross multiply
    9,433.80x = 13,019.37 × 5,657.11
  4. Step 4: Simplify right side
    9,433.80x = 73,651,954.46
  5. Step 5: Solve for x
    x = 73,651,954.46/9,433.80
  6. Step 6: Final answer
    x = 7,807.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.