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Finding the Fourth Proportional to 9,399.61, 12,970.78 and 5,149.99

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Solution

The fourth proportional to 9,399.61, 12,970.78 and 5,149.99 is: 7,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.61 : 12,970.78 = 5,149.99 : x
  2. Step 2: Convert to fraction form
    9,399.61/12,970.78 = 5,149.99/x
  3. Step 3: Cross multiply
    9,399.61x = 12,970.78 × 5,149.99
  4. Step 4: Simplify right side
    9,399.61x = 66,799,341.99
  5. Step 5: Solve for x
    x = 66,799,341.99/9,399.61
  6. Step 6: Final answer
    x = 7,106.61

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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.