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Finding the Fourth Proportional to 9,842.64, 14,763.85 and 5,895

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Solution

The fourth proportional to 9,842.64, 14,763.85 and 5,895 is: 8,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.64 : 14,763.85 = 5,895 : x
  2. Step 2: Convert to fraction form
    9,842.64/14,763.85 = 5,895/x
  3. Step 3: Cross multiply
    9,842.64x = 14,763.85 × 5,895
  4. Step 4: Simplify right side
    9,842.64x = 87,032,895.75
  5. Step 5: Solve for x
    x = 87,032,895.75/9,842.64
  6. Step 6: Final answer
    x = 8,842.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.