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Finding the Fourth Proportional to 6,525.36, 9,005 and 3,541.28

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Solution

The fourth proportional to 6,525.36, 9,005 and 3,541.28 is: 4,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.36 : 9,005 = 3,541.28 : x
  2. Step 2: Convert to fraction form
    6,525.36/9,005 = 3,541.28/x
  3. Step 3: Cross multiply
    6,525.36x = 9,005 × 3,541.28
  4. Step 4: Simplify right side
    6,525.36x = 31,889,226.40
  5. Step 5: Solve for x
    x = 31,889,226.40/6,525.36
  6. Step 6: Final answer
    x = 4,886.97

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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.