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Finding the Fourth Proportional to 9,522.88, 14,285.98 and 3,980.13

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Solution

The fourth proportional to 9,522.88, 14,285.98 and 3,980.13 is: 5,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.88 : 14,285.98 = 3,980.13 : x
  2. Step 2: Convert to fraction form
    9,522.88/14,285.98 = 3,980.13/x
  3. Step 3: Cross multiply
    9,522.88x = 14,285.98 × 3,980.13
  4. Step 4: Simplify right side
    9,522.88x = 56,860,057.58
  5. Step 5: Solve for x
    x = 56,860,057.58/9,522.88
  6. Step 6: Final answer
    x = 5,970.89

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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.