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Finding the Fourth Proportional to 9,143.24, 12,623.49 and 7,468.65

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Solution

The fourth proportional to 9,143.24, 12,623.49 and 7,468.65 is: 10,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.24 : 12,623.49 = 7,468.65 : x
  2. Step 2: Convert to fraction form
    9,143.24/12,623.49 = 7,468.65/x
  3. Step 3: Cross multiply
    9,143.24x = 12,623.49 × 7,468.65
  4. Step 4: Simplify right side
    9,143.24x = 94,280,428.59
  5. Step 5: Solve for x
    x = 94,280,428.59/9,143.24
  6. Step 6: Final answer
    x = 10,311.50

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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.