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Finding the Fourth Proportional to 9,289.69, 13,934.50 and 2,715.93

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Solution

The fourth proportional to 9,289.69, 13,934.50 and 2,715.93 is: 4,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.69 : 13,934.50 = 2,715.93 : x
  2. Step 2: Convert to fraction form
    9,289.69/13,934.50 = 2,715.93/x
  3. Step 3: Cross multiply
    9,289.69x = 13,934.50 × 2,715.93
  4. Step 4: Simplify right side
    9,289.69x = 37,845,119.80
  5. Step 5: Solve for x
    x = 37,845,119.80/9,289.69
  6. Step 6: Final answer
    x = 4,073.89

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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.