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Finding the Fourth Proportional to 9,119.10, 12,552.74 and 7,864.32

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Solution

The fourth proportional to 9,119.10, 12,552.74 and 7,864.32 is: 10,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.10 : 12,552.74 = 7,864.32 : x
  2. Step 2: Convert to fraction form
    9,119.10/12,552.74 = 7,864.32/x
  3. Step 3: Cross multiply
    9,119.10x = 12,552.74 × 7,864.32
  4. Step 4: Simplify right side
    9,119.10x = 98,718,764.24
  5. Step 5: Solve for x
    x = 98,718,764.24/9,119.10
  6. Step 6: Final answer
    x = 10,825.49

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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.