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Finding the Fourth Proportional to 9,669, 14,503.50 and 2,373

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Solution

The fourth proportional to 9,669, 14,503.50 and 2,373 is: 3,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669 : 14,503.50 = 2,373 : x
  2. Step 2: Convert to fraction form
    9,669/14,503.50 = 2,373/x
  3. Step 3: Cross multiply
    9,669x = 14,503.50 × 2,373
  4. Step 4: Simplify right side
    9,669x = 34,416,805.50
  5. Step 5: Solve for x
    x = 34,416,805.50/9,669
  6. Step 6: Final answer
    x = 3,559.50

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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.