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Finding the Fourth Proportional to 6,649.16, 9,970.47 and 3,876.53

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Solution

The fourth proportional to 6,649.16, 9,970.47 and 3,876.53 is: 5,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.16 : 9,970.47 = 3,876.53 : x
  2. Step 2: Convert to fraction form
    6,649.16/9,970.47 = 3,876.53/x
  3. Step 3: Cross multiply
    6,649.16x = 9,970.47 × 3,876.53
  4. Step 4: Simplify right side
    6,649.16x = 38,650,776.22
  5. Step 5: Solve for x
    x = 38,650,776.22/6,649.16
  6. Step 6: Final answer
    x = 5,812.89

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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.