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Finding the Fourth Proportional to 9,552.24, 14,338.74 and 8,078.32

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Solution

The fourth proportional to 9,552.24, 14,338.74 and 8,078.32 is: 12,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.24 : 14,338.74 = 8,078.32 : x
  2. Step 2: Convert to fraction form
    9,552.24/14,338.74 = 8,078.32/x
  3. Step 3: Cross multiply
    9,552.24x = 14,338.74 × 8,078.32
  4. Step 4: Simplify right side
    9,552.24x = 115,832,980.09
  5. Step 5: Solve for x
    x = 115,832,980.09/9,552.24
  6. Step 6: Final answer
    x = 12,126.26

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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.