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Finding the Fourth Proportional to 9,548.59, 13,174.77 and 5,567.44

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Solution

The fourth proportional to 9,548.59, 13,174.77 and 5,567.44 is: 7,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.59 : 13,174.77 = 5,567.44 : x
  2. Step 2: Convert to fraction form
    9,548.59/13,174.77 = 5,567.44/x
  3. Step 3: Cross multiply
    9,548.59x = 13,174.77 × 5,567.44
  4. Step 4: Simplify right side
    9,548.59x = 73,349,741.49
  5. Step 5: Solve for x
    x = 73,349,741.49/9,548.59
  6. Step 6: Final answer
    x = 7,681.74

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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.