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Finding the Fourth Proportional to 9,029.40, 13,548.12 and 5,741.64

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Solution

The fourth proportional to 9,029.40, 13,548.12 and 5,741.64 is: 8,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.40 : 13,548.12 = 5,741.64 : x
  2. Step 2: Convert to fraction form
    9,029.40/13,548.12 = 5,741.64/x
  3. Step 3: Cross multiply
    9,029.40x = 13,548.12 × 5,741.64
  4. Step 4: Simplify right side
    9,029.40x = 77,788,427.72
  5. Step 5: Solve for x
    x = 77,788,427.72/9,029.40
  6. Step 6: Final answer
    x = 8,615.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.