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Finding the Fourth Proportional to 9,475.82, 13,071.82 and 7,233.80

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Solution

The fourth proportional to 9,475.82, 13,071.82 and 7,233.80 is: 9,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.82 : 13,071.82 = 7,233.80 : x
  2. Step 2: Convert to fraction form
    9,475.82/13,071.82 = 7,233.80/x
  3. Step 3: Cross multiply
    9,475.82x = 13,071.82 × 7,233.80
  4. Step 4: Simplify right side
    9,475.82x = 94,558,931.52
  5. Step 5: Solve for x
    x = 94,558,931.52/9,475.82
  6. Step 6: Final answer
    x = 9,978.97

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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.