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Finding the Fourth Proportional to 9,869.42, 13,619.98 and 5,393.36

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Solution

The fourth proportional to 9,869.42, 13,619.98 and 5,393.36 is: 7,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.42 : 13,619.98 = 5,393.36 : x
  2. Step 2: Convert to fraction form
    9,869.42/13,619.98 = 5,393.36/x
  3. Step 3: Cross multiply
    9,869.42x = 13,619.98 × 5,393.36
  4. Step 4: Simplify right side
    9,869.42x = 73,457,496.12
  5. Step 5: Solve for x
    x = 73,457,496.12/9,869.42
  6. Step 6: Final answer
    x = 7,442.94

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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.