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Finding the Fourth Proportional to 9,562.64, 14,323.16 and 4,621.88

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Solution

The fourth proportional to 9,562.64, 14,323.16 and 4,621.88 is: 6,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.64 : 14,323.16 = 4,621.88 : x
  2. Step 2: Convert to fraction form
    9,562.64/14,323.16 = 4,621.88/x
  3. Step 3: Cross multiply
    9,562.64x = 14,323.16 × 4,621.88
  4. Step 4: Simplify right side
    9,562.64x = 66,199,832.02
  5. Step 5: Solve for x
    x = 66,199,832.02/9,562.64
  6. Step 6: Final answer
    x = 6,922.76

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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.