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Finding the Fourth Proportional to 12,549.12, 17,318.16 and 6,960

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Solution

The fourth proportional to 12,549.12, 17,318.16 and 6,960 is: 9,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.12 : 17,318.16 = 6,960 : x
  2. Step 2: Convert to fraction form
    12,549.12/17,318.16 = 6,960/x
  3. Step 3: Cross multiply
    12,549.12x = 17,318.16 × 6,960
  4. Step 4: Simplify right side
    12,549.12x = 120,534,393.60
  5. Step 5: Solve for x
    x = 120,534,393.60/12,549.12
  6. Step 6: Final answer
    x = 9,605.01

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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.