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Finding the Fourth Proportional to 9,442.72, 14,109.63 and 7,208.72

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Solution

The fourth proportional to 9,442.72, 14,109.63 and 7,208.72 is: 10,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.72 : 14,109.63 = 7,208.72 : x
  2. Step 2: Convert to fraction form
    9,442.72/14,109.63 = 7,208.72/x
  3. Step 3: Cross multiply
    9,442.72x = 14,109.63 × 7,208.72
  4. Step 4: Simplify right side
    9,442.72x = 101,712,371.97
  5. Step 5: Solve for x
    x = 101,712,371.97/9,442.72
  6. Step 6: Final answer
    x = 10,771.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.