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Finding the Fourth Proportional to 9,683.16, 14,522.99 and 2,567.45

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Solution

The fourth proportional to 9,683.16, 14,522.99 and 2,567.45 is: 3,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.16 : 14,522.99 = 2,567.45 : x
  2. Step 2: Convert to fraction form
    9,683.16/14,522.99 = 2,567.45/x
  3. Step 3: Cross multiply
    9,683.16x = 14,522.99 × 2,567.45
  4. Step 4: Simplify right side
    9,683.16x = 37,286,965.22
  5. Step 5: Solve for x
    x = 37,286,965.22/9,683.16
  6. Step 6: Final answer
    x = 3,850.70

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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.