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Finding the Fourth Proportional to 9,643.64, 14,458.02 and 4,443.32

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Solution

The fourth proportional to 9,643.64, 14,458.02 and 4,443.32 is: 6,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.64 : 14,458.02 = 4,443.32 : x
  2. Step 2: Convert to fraction form
    9,643.64/14,458.02 = 4,443.32/x
  3. Step 3: Cross multiply
    9,643.64x = 14,458.02 × 4,443.32
  4. Step 4: Simplify right side
    9,643.64x = 64,241,609.43
  5. Step 5: Solve for x
    x = 64,241,609.43/9,643.64
  6. Step 6: Final answer
    x = 6,661.55

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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.