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Finding the Fourth Proportional to 9,865.85, 13,618.64 and 6,089.63

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Solution

The fourth proportional to 9,865.85, 13,618.64 and 6,089.63 is: 8,406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.85 : 13,618.64 = 6,089.63 : x
  2. Step 2: Convert to fraction form
    9,865.85/13,618.64 = 6,089.63/x
  3. Step 3: Cross multiply
    9,865.85x = 13,618.64 × 6,089.63
  4. Step 4: Simplify right side
    9,865.85x = 82,932,425.83
  5. Step 5: Solve for x
    x = 82,932,425.83/9,865.85
  6. Step 6: Final answer
    x = 8,406.01

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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.