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Finding the Fourth Proportional to 9,702.10, 14,519.55 and 5,809.30

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Solution

The fourth proportional to 9,702.10, 14,519.55 and 5,809.30 is: 8,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.10 : 14,519.55 = 5,809.30 : x
  2. Step 2: Convert to fraction form
    9,702.10/14,519.55 = 5,809.30/x
  3. Step 3: Cross multiply
    9,702.10x = 14,519.55 × 5,809.30
  4. Step 4: Simplify right side
    9,702.10x = 84,348,421.82
  5. Step 5: Solve for x
    x = 84,348,421.82/9,702.10
  6. Step 6: Final answer
    x = 8,693.83

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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.