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Finding the Fourth Proportional to 9,124.93, 13,681.07 and 3,578.83

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Solution

The fourth proportional to 9,124.93, 13,681.07 and 3,578.83 is: 5,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.93 : 13,681.07 = 3,578.83 : x
  2. Step 2: Convert to fraction form
    9,124.93/13,681.07 = 3,578.83/x
  3. Step 3: Cross multiply
    9,124.93x = 13,681.07 × 3,578.83
  4. Step 4: Simplify right side
    9,124.93x = 48,962,223.75
  5. Step 5: Solve for x
    x = 48,962,223.75/9,124.93
  6. Step 6: Final answer
    x = 5,365.76

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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.