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Finding the Fourth Proportional to 9,773.12, 13,485.44 and 5,580.48

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Solution

The fourth proportional to 9,773.12, 13,485.44 and 5,580.48 is: 7,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.12 : 13,485.44 = 5,580.48 : x
  2. Step 2: Convert to fraction form
    9,773.12/13,485.44 = 5,580.48/x
  3. Step 3: Cross multiply
    9,773.12x = 13,485.44 × 5,580.48
  4. Step 4: Simplify right side
    9,773.12x = 75,255,228.21
  5. Step 5: Solve for x
    x = 75,255,228.21/9,773.12
  6. Step 6: Final answer
    x = 7,700.23

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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.