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Finding the Fourth Proportional to 9,710.22, 13,399.01 and 5,461.19

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Solution

The fourth proportional to 9,710.22, 13,399.01 and 5,461.19 is: 7,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.22 : 13,399.01 = 5,461.19 : x
  2. Step 2: Convert to fraction form
    9,710.22/13,399.01 = 5,461.19/x
  3. Step 3: Cross multiply
    9,710.22x = 13,399.01 × 5,461.19
  4. Step 4: Simplify right side
    9,710.22x = 73,174,472.43
  5. Step 5: Solve for x
    x = 73,174,472.43/9,710.22
  6. Step 6: Final answer
    x = 7,535.82

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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.