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Finding the Fourth Proportional to 9,048.95, 13,564.92 and 4,882.72

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Solution

The fourth proportional to 9,048.95, 13,564.92 and 4,882.72 is: 7,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.95 : 13,564.92 = 4,882.72 : x
  2. Step 2: Convert to fraction form
    9,048.95/13,564.92 = 4,882.72/x
  3. Step 3: Cross multiply
    9,048.95x = 13,564.92 × 4,882.72
  4. Step 4: Simplify right side
    9,048.95x = 66,233,672.27
  5. Step 5: Solve for x
    x = 66,233,672.27/9,048.95
  6. Step 6: Final answer
    x = 7,319.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.