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Finding the Fourth Proportional to 9,466, 14,199.24 and 3,310

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Solution

The fourth proportional to 9,466, 14,199.24 and 3,310 is: 4,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466 : 14,199.24 = 3,310 : x
  2. Step 2: Convert to fraction form
    9,466/14,199.24 = 3,310/x
  3. Step 3: Cross multiply
    9,466x = 14,199.24 × 3,310
  4. Step 4: Simplify right side
    9,466x = 46,999,484.40
  5. Step 5: Solve for x
    x = 46,999,484.40/9,466
  6. Step 6: Final answer
    x = 4,965.08

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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.