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Finding the Fourth Proportional to 9,751.36, 14,633.12 and 4,822.88

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Solution

The fourth proportional to 9,751.36, 14,633.12 and 4,822.88 is: 7,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.36 : 14,633.12 = 4,822.88 : x
  2. Step 2: Convert to fraction form
    9,751.36/14,633.12 = 4,822.88/x
  3. Step 3: Cross multiply
    9,751.36x = 14,633.12 × 4,822.88
  4. Step 4: Simplify right side
    9,751.36x = 70,573,781.79
  5. Step 5: Solve for x
    x = 70,573,781.79/9,751.36
  6. Step 6: Final answer
    x = 7,237.33

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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.