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Finding the Fourth Proportional to 9,548.66, 13,178.76 and 5,570.22

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Solution

The fourth proportional to 9,548.66, 13,178.76 and 5,570.22 is: 7,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.66 : 13,178.76 = 5,570.22 : x
  2. Step 2: Convert to fraction form
    9,548.66/13,178.76 = 5,570.22/x
  3. Step 3: Cross multiply
    9,548.66x = 13,178.76 × 5,570.22
  4. Step 4: Simplify right side
    9,548.66x = 73,408,592.53
  5. Step 5: Solve for x
    x = 73,408,592.53/9,548.66
  6. Step 6: Final answer
    x = 7,687.84

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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.