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Finding the Fourth Proportional to 9,778.51, 13,490.80 and 6,423.14

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Solution

The fourth proportional to 9,778.51, 13,490.80 and 6,423.14 is: 8,861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.51 : 13,490.80 = 6,423.14 : x
  2. Step 2: Convert to fraction form
    9,778.51/13,490.80 = 6,423.14/x
  3. Step 3: Cross multiply
    9,778.51x = 13,490.80 × 6,423.14
  4. Step 4: Simplify right side
    9,778.51x = 86,653,297.11
  5. Step 5: Solve for x
    x = 86,653,297.11/9,778.51
  6. Step 6: Final answer
    x = 8,861.61

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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.