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Finding the Fourth Proportional to 9,203.42, 13,807.56 and 5,299.22

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Solution

The fourth proportional to 9,203.42, 13,807.56 and 5,299.22 is: 7,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.42 : 13,807.56 = 5,299.22 : x
  2. Step 2: Convert to fraction form
    9,203.42/13,807.56 = 5,299.22/x
  3. Step 3: Cross multiply
    9,203.42x = 13,807.56 × 5,299.22
  4. Step 4: Simplify right side
    9,203.42x = 73,169,298.10
  5. Step 5: Solve for x
    x = 73,169,298.10/9,203.42
  6. Step 6: Final answer
    x = 7,950.23

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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.