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Finding the Fourth Proportional to 6,356.05, 9,530.56 and 4,357.03

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Solution

The fourth proportional to 6,356.05, 9,530.56 and 4,357.03 is: 6,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.05 : 9,530.56 = 4,357.03 : x
  2. Step 2: Convert to fraction form
    6,356.05/9,530.56 = 4,357.03/x
  3. Step 3: Cross multiply
    6,356.05x = 9,530.56 × 4,357.03
  4. Step 4: Simplify right side
    6,356.05x = 41,524,935.84
  5. Step 5: Solve for x
    x = 41,524,935.84/6,356.05
  6. Step 6: Final answer
    x = 6,533.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.