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Finding the Fourth Proportional to 9,644.58, 14,468.80 and 4,097.88

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Solution

The fourth proportional to 9,644.58, 14,468.80 and 4,097.88 is: 6,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.58 : 14,468.80 = 4,097.88 : x
  2. Step 2: Convert to fraction form
    9,644.58/14,468.80 = 4,097.88/x
  3. Step 3: Cross multiply
    9,644.58x = 14,468.80 × 4,097.88
  4. Step 4: Simplify right side
    9,644.58x = 59,291,406.14
  5. Step 5: Solve for x
    x = 59,291,406.14/9,644.58
  6. Step 6: Final answer
    x = 6,147.64

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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.