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Finding the Fourth Proportional to 9,248.99, 12,764.13 and 5,271.41

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Solution

The fourth proportional to 9,248.99, 12,764.13 and 5,271.41 is: 7,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.99 : 12,764.13 = 5,271.41 : x
  2. Step 2: Convert to fraction form
    9,248.99/12,764.13 = 5,271.41/x
  3. Step 3: Cross multiply
    9,248.99x = 12,764.13 × 5,271.41
  4. Step 4: Simplify right side
    9,248.99x = 67,284,962.52
  5. Step 5: Solve for x
    x = 67,284,962.52/9,248.99
  6. Step 6: Final answer
    x = 7,274.84

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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.