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Finding the Fourth Proportional to 9,702.08, 14,516.21 and 5,995.11

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Solution

The fourth proportional to 9,702.08, 14,516.21 and 5,995.11 is: 8,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.08 : 14,516.21 = 5,995.11 : x
  2. Step 2: Convert to fraction form
    9,702.08/14,516.21 = 5,995.11/x
  3. Step 3: Cross multiply
    9,702.08x = 14,516.21 × 5,995.11
  4. Step 4: Simplify right side
    9,702.08x = 87,026,345.16
  5. Step 5: Solve for x
    x = 87,026,345.16/9,702.08
  6. Step 6: Final answer
    x = 8,969.87

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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.