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Finding the Fourth Proportional to 9,224.96, 12,732 and 5,499.68

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Solution

The fourth proportional to 9,224.96, 12,732 and 5,499.68 is: 7,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.96 : 12,732 = 5,499.68 : x
  2. Step 2: Convert to fraction form
    9,224.96/12,732 = 5,499.68/x
  3. Step 3: Cross multiply
    9,224.96x = 12,732 × 5,499.68
  4. Step 4: Simplify right side
    9,224.96x = 70,021,925.76
  5. Step 5: Solve for x
    x = 70,021,925.76/9,224.96
  6. Step 6: Final answer
    x = 7,590.49

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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.