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Finding the Fourth Proportional to 9,859.42, 13,620.84 and 6,464.50

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Solution

The fourth proportional to 9,859.42, 13,620.84 and 6,464.50 is: 8,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.42 : 13,620.84 = 6,464.50 : x
  2. Step 2: Convert to fraction form
    9,859.42/13,620.84 = 6,464.50/x
  3. Step 3: Cross multiply
    9,859.42x = 13,620.84 × 6,464.50
  4. Step 4: Simplify right side
    9,859.42x = 88,051,920.18
  5. Step 5: Solve for x
    x = 88,051,920.18/9,859.42
  6. Step 6: Final answer
    x = 8,930.74

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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.