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Finding the Fourth Proportional to 9,934.23, 14,887.49 and 7,466.16

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Solution

The fourth proportional to 9,934.23, 14,887.49 and 7,466.16 is: 11,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.23 : 14,887.49 = 7,466.16 : x
  2. Step 2: Convert to fraction form
    9,934.23/14,887.49 = 7,466.16/x
  3. Step 3: Cross multiply
    9,934.23x = 14,887.49 × 7,466.16
  4. Step 4: Simplify right side
    9,934.23x = 111,152,382.34
  5. Step 5: Solve for x
    x = 111,152,382.34/9,934.23
  6. Step 6: Final answer
    x = 11,188.83

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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.