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Finding the Fourth Proportional to 9,490.52, 13,092.48 and 6,134.40

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Solution

The fourth proportional to 9,490.52, 13,092.48 and 6,134.40 is: 8,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.52 : 13,092.48 = 6,134.40 : x
  2. Step 2: Convert to fraction form
    9,490.52/13,092.48 = 6,134.40/x
  3. Step 3: Cross multiply
    9,490.52x = 13,092.48 × 6,134.40
  4. Step 4: Simplify right side
    9,490.52x = 80,314,509.31
  5. Step 5: Solve for x
    x = 80,314,509.31/9,490.52
  6. Step 6: Final answer
    x = 8,462.60

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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.