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Finding the Fourth Proportional to 9,486.32, 13,092.84 and 5,507.60

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Solution

The fourth proportional to 9,486.32, 13,092.84 and 5,507.60 is: 7,601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.32 : 13,092.84 = 5,507.60 : x
  2. Step 2: Convert to fraction form
    9,486.32/13,092.84 = 5,507.60/x
  3. Step 3: Cross multiply
    9,486.32x = 13,092.84 × 5,507.60
  4. Step 4: Simplify right side
    9,486.32x = 72,110,060.12
  5. Step 5: Solve for x
    x = 72,110,060.12/9,486.32
  6. Step 6: Final answer
    x = 7,601.48

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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.