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Finding the Fourth Proportional to 9,773.10, 14,657.22 and 4,504.86

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Solution

The fourth proportional to 9,773.10, 14,657.22 and 4,504.86 is: 6,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.10 : 14,657.22 = 4,504.86 : x
  2. Step 2: Convert to fraction form
    9,773.10/14,657.22 = 4,504.86/x
  3. Step 3: Cross multiply
    9,773.10x = 14,657.22 × 4,504.86
  4. Step 4: Simplify right side
    9,773.10x = 66,028,724.09
  5. Step 5: Solve for x
    x = 66,028,724.09/9,773.10
  6. Step 6: Final answer
    x = 6,756.17

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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.