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Finding the Fourth Proportional to 9,542.90, 14,314.35 and 8,522.30

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Solution

The fourth proportional to 9,542.90, 14,314.35 and 8,522.30 is: 12,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.90 : 14,314.35 = 8,522.30 : x
  2. Step 2: Convert to fraction form
    9,542.90/14,314.35 = 8,522.30/x
  3. Step 3: Cross multiply
    9,542.90x = 14,314.35 × 8,522.30
  4. Step 4: Simplify right side
    9,542.90x = 121,991,185.01
  5. Step 5: Solve for x
    x = 121,991,185.01/9,542.90
  6. Step 6: Final answer
    x = 12,783.45

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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.