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Finding the Fourth Proportional to 9,702.30, 14,553.45 and 3,133.20

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Solution

The fourth proportional to 9,702.30, 14,553.45 and 3,133.20 is: 4,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.30 : 14,553.45 = 3,133.20 : x
  2. Step 2: Convert to fraction form
    9,702.30/14,553.45 = 3,133.20/x
  3. Step 3: Cross multiply
    9,702.30x = 14,553.45 × 3,133.20
  4. Step 4: Simplify right side
    9,702.30x = 45,598,869.54
  5. Step 5: Solve for x
    x = 45,598,869.54/9,702.30
  6. Step 6: Final answer
    x = 4,699.80

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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.