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Finding the Fourth Proportional to 9,570.40, 14,355.60 and 2,550.40

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Solution

The fourth proportional to 9,570.40, 14,355.60 and 2,550.40 is: 3,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.40 : 14,355.60 = 2,550.40 : x
  2. Step 2: Convert to fraction form
    9,570.40/14,355.60 = 2,550.40/x
  3. Step 3: Cross multiply
    9,570.40x = 14,355.60 × 2,550.40
  4. Step 4: Simplify right side
    9,570.40x = 36,612,522.24
  5. Step 5: Solve for x
    x = 36,612,522.24/9,570.40
  6. Step 6: Final answer
    x = 3,825.60

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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.