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Finding the Fourth Proportional to 9,277.27, 12,803.03 and 5,298.68

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Solution

The fourth proportional to 9,277.27, 12,803.03 and 5,298.68 is: 7,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.27 : 12,803.03 = 5,298.68 : x
  2. Step 2: Convert to fraction form
    9,277.27/12,803.03 = 5,298.68/x
  3. Step 3: Cross multiply
    9,277.27x = 12,803.03 × 5,298.68
  4. Step 4: Simplify right side
    9,277.27x = 67,839,184.38
  5. Step 5: Solve for x
    x = 67,839,184.38/9,277.27
  6. Step 6: Final answer
    x = 7,312.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.