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Finding the Fourth Proportional to 9,625.52, 14,443.07 and 5,406.15

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Solution

The fourth proportional to 9,625.52, 14,443.07 and 5,406.15 is: 8,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.52 : 14,443.07 = 5,406.15 : x
  2. Step 2: Convert to fraction form
    9,625.52/14,443.07 = 5,406.15/x
  3. Step 3: Cross multiply
    9,625.52x = 14,443.07 × 5,406.15
  4. Step 4: Simplify right side
    9,625.52x = 78,081,402.88
  5. Step 5: Solve for x
    x = 78,081,402.88/9,625.52
  6. Step 6: Final answer
    x = 8,111.92

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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.