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Finding the Fourth Proportional to 9,662.56, 14,473 and 6,525.34

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Solution

The fourth proportional to 9,662.56, 14,473 and 6,525.34 is: 9,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.56 : 14,473 = 6,525.34 : x
  2. Step 2: Convert to fraction form
    9,662.56/14,473 = 6,525.34/x
  3. Step 3: Cross multiply
    9,662.56x = 14,473 × 6,525.34
  4. Step 4: Simplify right side
    9,662.56x = 94,441,245.82
  5. Step 5: Solve for x
    x = 94,441,245.82/9,662.56
  6. Step 6: Final answer
    x = 9,773.94

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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.