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Finding the Fourth Proportional to 9,798.79, 13,519 and 6,441.34

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Solution

The fourth proportional to 9,798.79, 13,519 and 6,441.34 is: 8,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.79 : 13,519 = 6,441.34 : x
  2. Step 2: Convert to fraction form
    9,798.79/13,519 = 6,441.34/x
  3. Step 3: Cross multiply
    9,798.79x = 13,519 × 6,441.34
  4. Step 4: Simplify right side
    9,798.79x = 87,080,475.46
  5. Step 5: Solve for x
    x = 87,080,475.46/9,798.79
  6. Step 6: Final answer
    x = 8,886.86

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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.