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Finding the Fourth Proportional to 9,152.47, 13,728.91 and 2,578.51

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Solution

The fourth proportional to 9,152.47, 13,728.91 and 2,578.51 is: 3,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.47 : 13,728.91 = 2,578.51 : x
  2. Step 2: Convert to fraction form
    9,152.47/13,728.91 = 2,578.51/x
  3. Step 3: Cross multiply
    9,152.47x = 13,728.91 × 2,578.51
  4. Step 4: Simplify right side
    9,152.47x = 35,400,090.96
  5. Step 5: Solve for x
    x = 35,400,090.96/9,152.47
  6. Step 6: Final answer
    x = 3,867.82

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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.