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Finding the Fourth Proportional to 9,894.48, 14,847.75 and 5,151.12

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Solution

The fourth proportional to 9,894.48, 14,847.75 and 5,151.12 is: 7,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.48 : 14,847.75 = 5,151.12 : x
  2. Step 2: Convert to fraction form
    9,894.48/14,847.75 = 5,151.12/x
  3. Step 3: Cross multiply
    9,894.48x = 14,847.75 × 5,151.12
  4. Step 4: Simplify right side
    9,894.48x = 76,482,541.98
  5. Step 5: Solve for x
    x = 76,482,541.98/9,894.48
  6. Step 6: Final answer
    x = 7,729.82

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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.