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Finding the Fourth Proportional to 7,009.20, 10,513.80 and 6,145.20

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Solution

The fourth proportional to 7,009.20, 10,513.80 and 6,145.20 is: 9,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.20 : 10,513.80 = 6,145.20 : x
  2. Step 2: Convert to fraction form
    7,009.20/10,513.80 = 6,145.20/x
  3. Step 3: Cross multiply
    7,009.20x = 10,513.80 × 6,145.20
  4. Step 4: Simplify right side
    7,009.20x = 64,609,403.76
  5. Step 5: Solve for x
    x = 64,609,403.76/7,009.20
  6. Step 6: Final answer
    x = 9,217.80

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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.