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Finding the Fourth Proportional to 9,490.61, 14,232.41 and 5,543.21

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Solution

The fourth proportional to 9,490.61, 14,232.41 and 5,543.21 is: 8,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.61 : 14,232.41 = 5,543.21 : x
  2. Step 2: Convert to fraction form
    9,490.61/14,232.41 = 5,543.21/x
  3. Step 3: Cross multiply
    9,490.61x = 14,232.41 × 5,543.21
  4. Step 4: Simplify right side
    9,490.61x = 78,893,266.09
  5. Step 5: Solve for x
    x = 78,893,266.09/9,490.61
  6. Step 6: Final answer
    x = 8,312.77

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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.