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Finding the Fourth Proportional to 9,853.43, 13,597.47 and 5,377.23

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Solution

The fourth proportional to 9,853.43, 13,597.47 and 5,377.23 is: 7,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.43 : 13,597.47 = 5,377.23 : x
  2. Step 2: Convert to fraction form
    9,853.43/13,597.47 = 5,377.23/x
  3. Step 3: Cross multiply
    9,853.43x = 13,597.47 × 5,377.23
  4. Step 4: Simplify right side
    9,853.43x = 73,116,723.61
  5. Step 5: Solve for x
    x = 73,116,723.61/9,853.43
  6. Step 6: Final answer
    x = 7,420.44

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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.