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Finding the Fourth Proportional to 10,301.75, 14,214.03 and 6,950.78

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Solution

The fourth proportional to 10,301.75, 14,214.03 and 6,950.78 is: 9,590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.75 : 14,214.03 = 6,950.78 : x
  2. Step 2: Convert to fraction form
    10,301.75/14,214.03 = 6,950.78/x
  3. Step 3: Cross multiply
    10,301.75x = 14,214.03 × 6,950.78
  4. Step 4: Simplify right side
    10,301.75x = 98,798,657.04
  5. Step 5: Solve for x
    x = 98,798,657.04/10,301.75
  6. Step 6: Final answer
    x = 9,590.47

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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.