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Finding the Fourth Proportional to 9,657.34, 14,496.27 and 8,553.94

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Solution

The fourth proportional to 9,657.34, 14,496.27 and 8,553.94 is: 12,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.34 : 14,496.27 = 8,553.94 : x
  2. Step 2: Convert to fraction form
    9,657.34/14,496.27 = 8,553.94/x
  3. Step 3: Cross multiply
    9,657.34x = 14,496.27 × 8,553.94
  4. Step 4: Simplify right side
    9,657.34x = 124,000,223.80
  5. Step 5: Solve for x
    x = 124,000,223.80/9,657.34
  6. Step 6: Final answer
    x = 12,840.00

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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.