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Finding the Fourth Proportional to 9,578.04, 13,213.26 and 5,599.32

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Solution

The fourth proportional to 9,578.04, 13,213.26 and 5,599.32 is: 7,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.04 : 13,213.26 = 5,599.32 : x
  2. Step 2: Convert to fraction form
    9,578.04/13,213.26 = 5,599.32/x
  3. Step 3: Cross multiply
    9,578.04x = 13,213.26 × 5,599.32
  4. Step 4: Simplify right side
    9,578.04x = 73,985,270.98
  5. Step 5: Solve for x
    x = 73,985,270.98/9,578.04
  6. Step 6: Final answer
    x = 7,724.47

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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.