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Finding the Fourth Proportional to 10,130.96, 13,987.14 and 6,949.59

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Solution

The fourth proportional to 10,130.96, 13,987.14 and 6,949.59 is: 9,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.96 : 13,987.14 = 6,949.59 : x
  2. Step 2: Convert to fraction form
    10,130.96/13,987.14 = 6,949.59/x
  3. Step 3: Cross multiply
    10,130.96x = 13,987.14 × 6,949.59
  4. Step 4: Simplify right side
    10,130.96x = 97,204,888.27
  5. Step 5: Solve for x
    x = 97,204,888.27/10,130.96
  6. Step 6: Final answer
    x = 9,594.83

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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.