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Finding the Fourth Proportional to 9,683.52, 14,522.58 and 3,442.74

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Solution

The fourth proportional to 9,683.52, 14,522.58 and 3,442.74 is: 5,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.52 : 14,522.58 = 3,442.74 : x
  2. Step 2: Convert to fraction form
    9,683.52/14,522.58 = 3,442.74/x
  3. Step 3: Cross multiply
    9,683.52x = 14,522.58 × 3,442.74
  4. Step 4: Simplify right side
    9,683.52x = 49,997,467.07
  5. Step 5: Solve for x
    x = 49,997,467.07/9,683.52
  6. Step 6: Final answer
    x = 5,163.15

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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.