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Finding the Fourth Proportional to 9,216.95, 12,715.79 and 5,674.01

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Solution

The fourth proportional to 9,216.95, 12,715.79 and 5,674.01 is: 7,827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.95 : 12,715.79 = 5,674.01 : x
  2. Step 2: Convert to fraction form
    9,216.95/12,715.79 = 5,674.01/x
  3. Step 3: Cross multiply
    9,216.95x = 12,715.79 × 5,674.01
  4. Step 4: Simplify right side
    9,216.95x = 72,149,491.25
  5. Step 5: Solve for x
    x = 72,149,491.25/9,216.95
  6. Step 6: Final answer
    x = 7,827.91

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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.