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Finding the Fourth Proportional to 9,506.64, 14,259.90 and 2,931

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Solution

The fourth proportional to 9,506.64, 14,259.90 and 2,931 is: 4,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.64 : 14,259.90 = 2,931 : x
  2. Step 2: Convert to fraction form
    9,506.64/14,259.90 = 2,931/x
  3. Step 3: Cross multiply
    9,506.64x = 14,259.90 × 2,931
  4. Step 4: Simplify right side
    9,506.64x = 41,795,766.90
  5. Step 5: Solve for x
    x = 41,795,766.90/9,506.64
  6. Step 6: Final answer
    x = 4,396.48

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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.