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Finding the Fourth Proportional to 9,351.68, 12,904.16 and 5,159.66

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Solution

The fourth proportional to 9,351.68, 12,904.16 and 5,159.66 is: 7,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.68 : 12,904.16 = 5,159.66 : x
  2. Step 2: Convert to fraction form
    9,351.68/12,904.16 = 5,159.66/x
  3. Step 3: Cross multiply
    9,351.68x = 12,904.16 × 5,159.66
  4. Step 4: Simplify right side
    9,351.68x = 66,580,987.87
  5. Step 5: Solve for x
    x = 66,580,987.87/9,351.68
  6. Step 6: Final answer
    x = 7,119.69

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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.