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Finding the Fourth Proportional to 9,242.03, 12,753 and 5,465.33

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Solution

The fourth proportional to 9,242.03, 12,753 and 5,465.33 is: 7,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.03 : 12,753 = 5,465.33 : x
  2. Step 2: Convert to fraction form
    9,242.03/12,753 = 5,465.33/x
  3. Step 3: Cross multiply
    9,242.03x = 12,753 × 5,465.33
  4. Step 4: Simplify right side
    9,242.03x = 69,699,289.73
  5. Step 5: Solve for x
    x = 69,699,289.73/9,242.03
  6. Step 6: Final answer
    x = 7,541.56

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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.