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Finding the Fourth Proportional to 9,508.25, 14,251.08 and 4,435.63

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Solution

The fourth proportional to 9,508.25, 14,251.08 and 4,435.63 is: 6,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.25 : 14,251.08 = 4,435.63 : x
  2. Step 2: Convert to fraction form
    9,508.25/14,251.08 = 4,435.63/x
  3. Step 3: Cross multiply
    9,508.25x = 14,251.08 × 4,435.63
  4. Step 4: Simplify right side
    9,508.25x = 63,212,465.72
  5. Step 5: Solve for x
    x = 63,212,465.72/9,508.25
  6. Step 6: Final answer
    x = 6,648.17

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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.