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Finding the Fourth Proportional to 9,670.66, 13,347.93 and 5,942.50

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Solution

The fourth proportional to 9,670.66, 13,347.93 and 5,942.50 is: 8,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.66 : 13,347.93 = 5,942.50 : x
  2. Step 2: Convert to fraction form
    9,670.66/13,347.93 = 5,942.50/x
  3. Step 3: Cross multiply
    9,670.66x = 13,347.93 × 5,942.50
  4. Step 4: Simplify right side
    9,670.66x = 79,320,074.03
  5. Step 5: Solve for x
    x = 79,320,074.03/9,670.66
  6. Step 6: Final answer
    x = 8,202.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.