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Finding the Fourth Proportional to 9,277.24, 12,803.12 and 5,502.64

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Solution

The fourth proportional to 9,277.24, 12,803.12 and 5,502.64 is: 7,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.24 : 12,803.12 = 5,502.64 : x
  2. Step 2: Convert to fraction form
    9,277.24/12,803.12 = 5,502.64/x
  3. Step 3: Cross multiply
    9,277.24x = 12,803.12 × 5,502.64
  4. Step 4: Simplify right side
    9,277.24x = 70,450,932.72
  5. Step 5: Solve for x
    x = 70,450,932.72/9,277.24
  6. Step 6: Final answer
    x = 7,593.95

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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.