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Finding the Fourth Proportional to 9,506.40, 14,259.60 and 2,580.90

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Solution

The fourth proportional to 9,506.40, 14,259.60 and 2,580.90 is: 3,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.40 : 14,259.60 = 2,580.90 : x
  2. Step 2: Convert to fraction form
    9,506.40/14,259.60 = 2,580.90/x
  3. Step 3: Cross multiply
    9,506.40x = 14,259.60 × 2,580.90
  4. Step 4: Simplify right side
    9,506.40x = 36,802,601.64
  5. Step 5: Solve for x
    x = 36,802,601.64/9,506.40
  6. Step 6: Final answer
    x = 3,871.35

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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.