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Finding the Fourth Proportional to 10,109.53, 13,951.81 and 6,960.25

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Solution

The fourth proportional to 10,109.53, 13,951.81 and 6,960.25 is: 9,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.53 : 13,951.81 = 6,960.25 : x
  2. Step 2: Convert to fraction form
    10,109.53/13,951.81 = 6,960.25/x
  3. Step 3: Cross multiply
    10,109.53x = 13,951.81 × 6,960.25
  4. Step 4: Simplify right side
    10,109.53x = 97,108,085.55
  5. Step 5: Solve for x
    x = 97,108,085.55/10,109.53
  6. Step 6: Final answer
    x = 9,605.60

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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.