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Finding the Fourth Proportional to 9,847.36, 14,773.98 and 9,259.90

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Solution

The fourth proportional to 9,847.36, 14,773.98 and 9,259.90 is: 13,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.36 : 14,773.98 = 9,259.90 : x
  2. Step 2: Convert to fraction form
    9,847.36/14,773.98 = 9,259.90/x
  3. Step 3: Cross multiply
    9,847.36x = 14,773.98 × 9,259.90
  4. Step 4: Simplify right side
    9,847.36x = 136,805,577.40
  5. Step 5: Solve for x
    x = 136,805,577.40/9,847.36
  6. Step 6: Final answer
    x = 13,892.61

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1.5x scale

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.