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Finding the Fourth Proportional to 9,710.42, 13,399.20 and 5,402.49

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Solution

The fourth proportional to 9,710.42, 13,399.20 and 5,402.49 is: 7,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.42 : 13,399.20 = 5,402.49 : x
  2. Step 2: Convert to fraction form
    9,710.42/13,399.20 = 5,402.49/x
  3. Step 3: Cross multiply
    9,710.42x = 13,399.20 × 5,402.49
  4. Step 4: Simplify right side
    9,710.42x = 72,389,114.51
  5. Step 5: Solve for x
    x = 72,389,114.51/9,710.42
  6. Step 6: Final answer
    x = 7,454.79

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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.