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Finding the Fourth Proportional to 9,329.30, 13,925.69 and 8,222.16

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Solution

The fourth proportional to 9,329.30, 13,925.69 and 8,222.16 is: 12,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.30 : 13,925.69 = 8,222.16 : x
  2. Step 2: Convert to fraction form
    9,329.30/13,925.69 = 8,222.16/x
  3. Step 3: Cross multiply
    9,329.30x = 13,925.69 × 8,222.16
  4. Step 4: Simplify right side
    9,329.30x = 114,499,251.29
  5. Step 5: Solve for x
    x = 114,499,251.29/9,329.30
  6. Step 6: Final answer
    x = 12,273.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.