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Finding the Fourth Proportional to 9,771.48, 13,490.88 and 6,420.24

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Solution

The fourth proportional to 9,771.48, 13,490.88 and 6,420.24 is: 8,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.48 : 13,490.88 = 6,420.24 : x
  2. Step 2: Convert to fraction form
    9,771.48/13,490.88 = 6,420.24/x
  3. Step 3: Cross multiply
    9,771.48x = 13,490.88 × 6,420.24
  4. Step 4: Simplify right side
    9,771.48x = 86,614,687.41
  5. Step 5: Solve for x
    x = 86,614,687.41/9,771.48
  6. Step 6: Final answer
    x = 8,864.03

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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.