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Finding the Fourth Proportional to 9,221.59, 13,834.14 and 5,059.36

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Solution

The fourth proportional to 9,221.59, 13,834.14 and 5,059.36 is: 7,590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.59 : 13,834.14 = 5,059.36 : x
  2. Step 2: Convert to fraction form
    9,221.59/13,834.14 = 5,059.36/x
  3. Step 3: Cross multiply
    9,221.59x = 13,834.14 × 5,059.36
  4. Step 4: Simplify right side
    9,221.59x = 69,991,894.55
  5. Step 5: Solve for x
    x = 69,991,894.55/9,221.59
  6. Step 6: Final answer
    x = 7,590.00

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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.