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Finding the Fourth Proportional to 9,759.12, 14,648.25 and 4,214.39

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Solution

The fourth proportional to 9,759.12, 14,648.25 and 4,214.39 is: 6,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.12 : 14,648.25 = 4,214.39 : x
  2. Step 2: Convert to fraction form
    9,759.12/14,648.25 = 4,214.39/x
  3. Step 3: Cross multiply
    9,759.12x = 14,648.25 × 4,214.39
  4. Step 4: Simplify right side
    9,759.12x = 61,733,438.32
  5. Step 5: Solve for x
    x = 61,733,438.32/9,759.12
  6. Step 6: Final answer
    x = 6,325.72

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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.