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Finding the Fourth Proportional to 9,076.16, 12,509.16 and 8,823.44

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Solution

The fourth proportional to 9,076.16, 12,509.16 and 8,823.44 is: 12,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.16 : 12,509.16 = 8,823.44 : x
  2. Step 2: Convert to fraction form
    9,076.16/12,509.16 = 8,823.44/x
  3. Step 3: Cross multiply
    9,076.16x = 12,509.16 × 8,823.44
  4. Step 4: Simplify right side
    9,076.16x = 110,373,822.71
  5. Step 5: Solve for x
    x = 110,373,822.71/9,076.16
  6. Step 6: Final answer
    x = 12,160.85

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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.