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Finding the Fourth Proportional to 9,649.65, 13,319.81 and 5,671.95

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Solution

The fourth proportional to 9,649.65, 13,319.81 and 5,671.95 is: 7,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.65 : 13,319.81 = 5,671.95 : x
  2. Step 2: Convert to fraction form
    9,649.65/13,319.81 = 5,671.95/x
  3. Step 3: Cross multiply
    9,649.65x = 13,319.81 × 5,671.95
  4. Step 4: Simplify right side
    9,649.65x = 75,549,296.33
  5. Step 5: Solve for x
    x = 75,549,296.33/9,649.65
  6. Step 6: Final answer
    x = 7,829.23

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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.