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Finding the Fourth Proportional to 9,820.96, 14,702.16 and 9,471.04

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Solution

The fourth proportional to 9,820.96, 14,702.16 and 9,471.04 is: 14,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.96 : 14,702.16 = 9,471.04 : x
  2. Step 2: Convert to fraction form
    9,820.96/14,702.16 = 9,471.04/x
  3. Step 3: Cross multiply
    9,820.96x = 14,702.16 × 9,471.04
  4. Step 4: Simplify right side
    9,820.96x = 139,244,745.45
  5. Step 5: Solve for x
    x = 139,244,745.45/9,820.96
  6. Step 6: Final answer
    x = 14,178.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.