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Finding the Fourth Proportional to 8,997.64, 12,416.45 and 4,909.29

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Solution

The fourth proportional to 8,997.64, 12,416.45 and 4,909.29 is: 6,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.64 : 12,416.45 = 4,909.29 : x
  2. Step 2: Convert to fraction form
    8,997.64/12,416.45 = 4,909.29/x
  3. Step 3: Cross multiply
    8,997.64x = 12,416.45 × 4,909.29
  4. Step 4: Simplify right side
    8,997.64x = 60,955,953.82
  5. Step 5: Solve for x
    x = 60,955,953.82/8,997.64
  6. Step 6: Final answer
    x = 6,774.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.