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Finding the Fourth Proportional to 9,751.44, 14,625.72 and 3,594

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Solution

The fourth proportional to 9,751.44, 14,625.72 and 3,594 is: 5,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.44 : 14,625.72 = 3,594 : x
  2. Step 2: Convert to fraction form
    9,751.44/14,625.72 = 3,594/x
  3. Step 3: Cross multiply
    9,751.44x = 14,625.72 × 3,594
  4. Step 4: Simplify right side
    9,751.44x = 52,564,837.68
  5. Step 5: Solve for x
    x = 52,564,837.68/9,751.44
  6. Step 6: Final answer
    x = 5,390.47

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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.