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Finding the Fourth Proportional to 9,670.81, 13,331.45 and 7,543.96

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Solution

The fourth proportional to 9,670.81, 13,331.45 and 7,543.96 is: 10,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.81 : 13,331.45 = 7,543.96 : x
  2. Step 2: Convert to fraction form
    9,670.81/13,331.45 = 7,543.96/x
  3. Step 3: Cross multiply
    9,670.81x = 13,331.45 × 7,543.96
  4. Step 4: Simplify right side
    9,670.81x = 100,571,925.54
  5. Step 5: Solve for x
    x = 100,571,925.54/9,670.81
  6. Step 6: Final answer
    x = 10,399.53

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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.