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Finding the Fourth Proportional to 9,506.34, 14,259.52 and 2,580.84

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Solution

The fourth proportional to 9,506.34, 14,259.52 and 2,580.84 is: 3,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.34 : 14,259.52 = 2,580.84 : x
  2. Step 2: Convert to fraction form
    9,506.34/14,259.52 = 2,580.84/x
  3. Step 3: Cross multiply
    9,506.34x = 14,259.52 × 2,580.84
  4. Step 4: Simplify right side
    9,506.34x = 36,801,586.62
  5. Step 5: Solve for x
    x = 36,801,586.62/9,506.34
  6. Step 6: Final answer
    x = 3,871.27

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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.