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Finding the Fourth Proportional to 9,643.37, 14,466.68 and 3,071.57

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Solution

The fourth proportional to 9,643.37, 14,466.68 and 3,071.57 is: 4,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.37 : 14,466.68 = 3,071.57 : x
  2. Step 2: Convert to fraction form
    9,643.37/14,466.68 = 3,071.57/x
  3. Step 3: Cross multiply
    9,643.37x = 14,466.68 × 3,071.57
  4. Step 4: Simplify right side
    9,643.37x = 44,435,404.93
  5. Step 5: Solve for x
    x = 44,435,404.93/9,643.37
  6. Step 6: Final answer
    x = 4,607.87

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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.