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Finding the Fourth Proportional to 9,336, 13,994.24 and 4,952.24

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Solution

The fourth proportional to 9,336, 13,994.24 and 4,952.24 is: 7,423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336 : 13,994.24 = 4,952.24 : x
  2. Step 2: Convert to fraction form
    9,336/13,994.24 = 4,952.24/x
  3. Step 3: Cross multiply
    9,336x = 13,994.24 × 4,952.24
  4. Step 4: Simplify right side
    9,336x = 69,302,835.10
  5. Step 5: Solve for x
    x = 69,302,835.10/9,336
  6. Step 6: Final answer
    x = 7,423.18

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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.