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Finding the Fourth Proportional to 6,647.36, 9,178.24 and 5,328.32

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Solution

The fourth proportional to 6,647.36, 9,178.24 and 5,328.32 is: 7,357.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.36 : 9,178.24 = 5,328.32 : x
  2. Step 2: Convert to fraction form
    6,647.36/9,178.24 = 5,328.32/x
  3. Step 3: Cross multiply
    6,647.36x = 9,178.24 × 5,328.32
  4. Step 4: Simplify right side
    6,647.36x = 48,904,599.76
  5. Step 5: Solve for x
    x = 48,904,599.76/6,647.36
  6. Step 6: Final answer
    x = 7,357.00

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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.