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Finding the Fourth Proportional to 9,167.69, 13,756.32 and 5,006.93

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Solution

The fourth proportional to 9,167.69, 13,756.32 and 5,006.93 is: 7,513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.69 : 13,756.32 = 5,006.93 : x
  2. Step 2: Convert to fraction form
    9,167.69/13,756.32 = 5,006.93/x
  3. Step 3: Cross multiply
    9,167.69x = 13,756.32 × 5,006.93
  4. Step 4: Simplify right side
    9,167.69x = 68,876,862.52
  5. Step 5: Solve for x
    x = 68,876,862.52/9,167.69
  6. Step 6: Final answer
    x = 7,513.00

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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.