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Finding the Fourth Proportional to 10,109.80, 15,164.70 and 9,656.20

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Solution

The fourth proportional to 10,109.80, 15,164.70 and 9,656.20 is: 14,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.80 : 15,164.70 = 9,656.20 : x
  2. Step 2: Convert to fraction form
    10,109.80/15,164.70 = 9,656.20/x
  3. Step 3: Cross multiply
    10,109.80x = 15,164.70 × 9,656.20
  4. Step 4: Simplify right side
    10,109.80x = 146,433,376.14
  5. Step 5: Solve for x
    x = 146,433,376.14/10,109.80
  6. Step 6: Final answer
    x = 14,484.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.