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Finding the Fourth Proportional to 9,278.70, 13,896.45 and 6,341.10

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Solution

The fourth proportional to 9,278.70, 13,896.45 and 6,341.10 is: 9,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.70 : 13,896.45 = 6,341.10 : x
  2. Step 2: Convert to fraction form
    9,278.70/13,896.45 = 6,341.10/x
  3. Step 3: Cross multiply
    9,278.70x = 13,896.45 × 6,341.10
  4. Step 4: Simplify right side
    9,278.70x = 88,118,779.10
  5. Step 5: Solve for x
    x = 88,118,779.10/9,278.70
  6. Step 6: Final answer
    x = 9,496.89

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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.