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Finding the Fourth Proportional to 9,433.93, 13,019.07 and 5,657.71

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Solution

The fourth proportional to 9,433.93, 13,019.07 and 5,657.71 is: 7,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.93 : 13,019.07 = 5,657.71 : x
  2. Step 2: Convert to fraction form
    9,433.93/13,019.07 = 5,657.71/x
  3. Step 3: Cross multiply
    9,433.93x = 13,019.07 × 5,657.71
  4. Step 4: Simplify right side
    9,433.93x = 73,658,122.53
  5. Step 5: Solve for x
    x = 73,658,122.53/9,433.93
  6. Step 6: Final answer
    x = 7,807.79

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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.