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Finding the Fourth Proportional to 9,655.80, 13,329.09 and 6,301.49

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Solution

The fourth proportional to 9,655.80, 13,329.09 and 6,301.49 is: 8,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.80 : 13,329.09 = 6,301.49 : x
  2. Step 2: Convert to fraction form
    9,655.80/13,329.09 = 6,301.49/x
  3. Step 3: Cross multiply
    9,655.80x = 13,329.09 × 6,301.49
  4. Step 4: Simplify right side
    9,655.80x = 83,993,127.34
  5. Step 5: Solve for x
    x = 83,993,127.34/9,655.80
  6. Step 6: Final answer
    x = 8,698.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.