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Finding the Fourth Proportional to 6,549.24, 9,037.41 and 4,564.08

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Solution

The fourth proportional to 6,549.24, 9,037.41 and 4,564.08 is: 6,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.24 : 9,037.41 = 4,564.08 : x
  2. Step 2: Convert to fraction form
    6,549.24/9,037.41 = 4,564.08/x
  3. Step 3: Cross multiply
    6,549.24x = 9,037.41 × 4,564.08
  4. Step 4: Simplify right side
    6,549.24x = 41,247,462.23
  5. Step 5: Solve for x
    x = 41,247,462.23/6,549.24
  6. Step 6: Final answer
    x = 6,298.05

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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.