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Finding the Fourth Proportional to 8,949.22, 13,409.20 and 4,560.64

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Solution

The fourth proportional to 8,949.22, 13,409.20 and 4,560.64 is: 6,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949.22 : 13,409.20 = 4,560.64 : x
  2. Step 2: Convert to fraction form
    8,949.22/13,409.20 = 4,560.64/x
  3. Step 3: Cross multiply
    8,949.22x = 13,409.20 × 4,560.64
  4. Step 4: Simplify right side
    8,949.22x = 61,154,533.89
  5. Step 5: Solve for x
    x = 61,154,533.89/8,949.22
  6. Step 6: Final answer
    x = 6,833.50

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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.