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Finding the Fourth Proportional to 9,586.08, 13,235.40 and 7,344

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Solution

The fourth proportional to 9,586.08, 13,235.40 and 7,344 is: 10,139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.08 : 13,235.40 = 7,344 : x
  2. Step 2: Convert to fraction form
    9,586.08/13,235.40 = 7,344/x
  3. Step 3: Cross multiply
    9,586.08x = 13,235.40 × 7,344
  4. Step 4: Simplify right side
    9,586.08x = 97,200,777.60
  5. Step 5: Solve for x
    x = 97,200,777.60/9,586.08
  6. Step 6: Final answer
    x = 10,139.78

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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.