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Finding the Fourth Proportional to 9,558.72, 13,191.12 and 5,580

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Solution

The fourth proportional to 9,558.72, 13,191.12 and 5,580 is: 7,700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.72 : 13,191.12 = 5,580 : x
  2. Step 2: Convert to fraction form
    9,558.72/13,191.12 = 5,580/x
  3. Step 3: Cross multiply
    9,558.72x = 13,191.12 × 5,580
  4. Step 4: Simplify right side
    9,558.72x = 73,606,449.60
  5. Step 5: Solve for x
    x = 73,606,449.60/9,558.72
  6. Step 6: Final answer
    x = 7,700.45

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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.