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Finding the Fourth Proportional to 9,625.32, 14,438.07 and 3,051

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Solution

The fourth proportional to 9,625.32, 14,438.07 and 3,051 is: 4,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.32 : 14,438.07 = 3,051 : x
  2. Step 2: Convert to fraction form
    9,625.32/14,438.07 = 3,051/x
  3. Step 3: Cross multiply
    9,625.32x = 14,438.07 × 3,051
  4. Step 4: Simplify right side
    9,625.32x = 44,050,551.57
  5. Step 5: Solve for x
    x = 44,050,551.57/9,625.32
  6. Step 6: Final answer
    x = 4,576.53

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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.