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Finding the Fourth Proportional to 9,598.85, 13,246.43 and 5,349.82

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Solution

The fourth proportional to 9,598.85, 13,246.43 and 5,349.82 is: 7,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.85 : 13,246.43 = 5,349.82 : x
  2. Step 2: Convert to fraction form
    9,598.85/13,246.43 = 5,349.82/x
  3. Step 3: Cross multiply
    9,598.85x = 13,246.43 × 5,349.82
  4. Step 4: Simplify right side
    9,598.85x = 70,865,996.40
  5. Step 5: Solve for x
    x = 70,865,996.40/9,598.85
  6. Step 6: Final answer
    x = 7,382.76

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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.