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Finding the Fourth Proportional to 9,670.16, 13,347.24 and 5,942

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Solution

The fourth proportional to 9,670.16, 13,347.24 and 5,942 is: 8,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.16 : 13,347.24 = 5,942 : x
  2. Step 2: Convert to fraction form
    9,670.16/13,347.24 = 5,942/x
  3. Step 3: Cross multiply
    9,670.16x = 13,347.24 × 5,942
  4. Step 4: Simplify right side
    9,670.16x = 79,309,300.08
  5. Step 5: Solve for x
    x = 79,309,300.08/9,670.16
  6. Step 6: Final answer
    x = 8,201.45

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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.