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Finding the Fourth Proportional to 9,768.49, 13,486.26 and 6,417.15

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Solution

The fourth proportional to 9,768.49, 13,486.26 and 6,417.15 is: 8,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.49 : 13,486.26 = 6,417.15 : x
  2. Step 2: Convert to fraction form
    9,768.49/13,486.26 = 6,417.15/x
  3. Step 3: Cross multiply
    9,768.49x = 13,486.26 × 6,417.15
  4. Step 4: Simplify right side
    9,768.49x = 86,543,326.85
  5. Step 5: Solve for x
    x = 86,543,326.85/9,768.49
  6. Step 6: Final answer
    x = 8,859.44

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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.