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Finding the Fourth Proportional to 9,548.16, 13,160.16 and 6,716.40

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Solution

The fourth proportional to 9,548.16, 13,160.16 and 6,716.40 is: 9,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.16 : 13,160.16 = 6,716.40 : x
  2. Step 2: Convert to fraction form
    9,548.16/13,160.16 = 6,716.40/x
  3. Step 3: Cross multiply
    9,548.16x = 13,160.16 × 6,716.40
  4. Step 4: Simplify right side
    9,548.16x = 88,388,898.62
  5. Step 5: Solve for x
    x = 88,388,898.62/9,548.16
  6. Step 6: Final answer
    x = 9,257.17

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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.