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Finding the Fourth Proportional to 9,754, 13,460.68 and 6,964.24

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Solution

The fourth proportional to 9,754, 13,460.68 and 6,964.24 is: 9,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754 : 13,460.68 = 6,964.24 : x
  2. Step 2: Convert to fraction form
    9,754/13,460.68 = 6,964.24/x
  3. Step 3: Cross multiply
    9,754x = 13,460.68 × 6,964.24
  4. Step 4: Simplify right side
    9,754x = 93,743,406.08
  5. Step 5: Solve for x
    x = 93,743,406.08/9,754
  6. Step 6: Final answer
    x = 9,610.77

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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.