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Finding the Fourth Proportional to 9,473.50, 13,073.49 and 5,281.78

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Solution

The fourth proportional to 9,473.50, 13,073.49 and 5,281.78 is: 7,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.50 : 13,073.49 = 5,281.78 : x
  2. Step 2: Convert to fraction form
    9,473.50/13,073.49 = 5,281.78/x
  3. Step 3: Cross multiply
    9,473.50x = 13,073.49 × 5,281.78
  4. Step 4: Simplify right side
    9,473.50x = 69,051,298.01
  5. Step 5: Solve for x
    x = 69,051,298.01/9,473.50
  6. Step 6: Final answer
    x = 7,288.89

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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.