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Finding the Fourth Proportional to 9,551.64, 13,178.08 and 5,775.96

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Solution

The fourth proportional to 9,551.64, 13,178.08 and 5,775.96 is: 7,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.64 : 13,178.08 = 5,775.96 : x
  2. Step 2: Convert to fraction form
    9,551.64/13,178.08 = 5,775.96/x
  3. Step 3: Cross multiply
    9,551.64x = 13,178.08 × 5,775.96
  4. Step 4: Simplify right side
    9,551.64x = 76,116,062.96
  5. Step 5: Solve for x
    x = 76,116,062.96/9,551.64
  6. Step 6: Final answer
    x = 7,968.90

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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.