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Finding the Fourth Proportional to 9,747.48, 13,457.92 and 7,505.40

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Solution

The fourth proportional to 9,747.48, 13,457.92 and 7,505.40 is: 10,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.48 : 13,457.92 = 7,505.40 : x
  2. Step 2: Convert to fraction form
    9,747.48/13,457.92 = 7,505.40/x
  3. Step 3: Cross multiply
    9,747.48x = 13,457.92 × 7,505.40
  4. Step 4: Simplify right side
    9,747.48x = 101,007,072.77
  5. Step 5: Solve for x
    x = 101,007,072.77/9,747.48
  6. Step 6: Final answer
    x = 10,362.38

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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.