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Finding the Fourth Proportional to 9,780.90, 13,490.60 and 6,757.07

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Solution

The fourth proportional to 9,780.90, 13,490.60 and 6,757.07 is: 9,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.90 : 13,490.60 = 6,757.07 : x
  2. Step 2: Convert to fraction form
    9,780.90/13,490.60 = 6,757.07/x
  3. Step 3: Cross multiply
    9,780.90x = 13,490.60 × 6,757.07
  4. Step 4: Simplify right side
    9,780.90x = 91,156,941.20
  5. Step 5: Solve for x
    x = 91,156,941.20/9,780.90
  6. Step 6: Final answer
    x = 9,319.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.