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Finding the Fourth Proportional to 6,500.93, 9,752.33 and 2,117.30

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Solution

The fourth proportional to 6,500.93, 9,752.33 and 2,117.30 is: 3,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.93 : 9,752.33 = 2,117.30 : x
  2. Step 2: Convert to fraction form
    6,500.93/9,752.33 = 2,117.30/x
  3. Step 3: Cross multiply
    6,500.93x = 9,752.33 × 2,117.30
  4. Step 4: Simplify right side
    6,500.93x = 20,648,564.84
  5. Step 5: Solve for x
    x = 20,648,564.84/6,500.93
  6. Step 6: Final answer
    x = 3,176.25

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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.