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Finding the Fourth Proportional to 9,710.39, 14,553.36 and 4,157.16

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Solution

The fourth proportional to 9,710.39, 14,553.36 and 4,157.16 is: 6,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.39 : 14,553.36 = 4,157.16 : x
  2. Step 2: Convert to fraction form
    9,710.39/14,553.36 = 4,157.16/x
  3. Step 3: Cross multiply
    9,710.39x = 14,553.36 × 4,157.16
  4. Step 4: Simplify right side
    9,710.39x = 60,500,646.06
  5. Step 5: Solve for x
    x = 60,500,646.06/9,710.39
  6. Step 6: Final answer
    x = 6,230.51

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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.