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Finding the Fourth Proportional to 9,671, 14,484 and 9,404.95

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Solution

The fourth proportional to 9,671, 14,484 and 9,404.95 is: 14,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671 : 14,484 = 9,404.95 : x
  2. Step 2: Convert to fraction form
    9,671/14,484 = 9,404.95/x
  3. Step 3: Cross multiply
    9,671x = 14,484 × 9,404.95
  4. Step 4: Simplify right side
    9,671x = 136,221,295.80
  5. Step 5: Solve for x
    x = 136,221,295.80/9,671
  6. Step 6: Final answer
    x = 14,085.54

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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.