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Finding the Fourth Proportional to 9,717.64, 13,412.59 and 6,180.17

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Solution

The fourth proportional to 9,717.64, 13,412.59 and 6,180.17 is: 8,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.64 : 13,412.59 = 6,180.17 : x
  2. Step 2: Convert to fraction form
    9,717.64/13,412.59 = 6,180.17/x
  3. Step 3: Cross multiply
    9,717.64x = 13,412.59 × 6,180.17
  4. Step 4: Simplify right side
    9,717.64x = 82,892,003.83
  5. Step 5: Solve for x
    x = 82,892,003.83/9,717.64
  6. Step 6: Final answer
    x = 8,530.06

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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.