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Finding the Fourth Proportional to 9,646, 14,468.99 and 6,335.15

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Solution

The fourth proportional to 9,646, 14,468.99 and 6,335.15 is: 9,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646 : 14,468.99 = 6,335.15 : x
  2. Step 2: Convert to fraction form
    9,646/14,468.99 = 6,335.15/x
  3. Step 3: Cross multiply
    9,646x = 14,468.99 × 6,335.15
  4. Step 4: Simplify right side
    9,646x = 91,663,222.00
  5. Step 5: Solve for x
    x = 91,663,222.00/9,646
  6. Step 6: Final answer
    x = 9,502.72

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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.