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Finding the Fourth Proportional to 9,492.48, 14,237.76 and 3,336

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Solution

The fourth proportional to 9,492.48, 14,237.76 and 3,336 is: 5,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.48 : 14,237.76 = 3,336 : x
  2. Step 2: Convert to fraction form
    9,492.48/14,237.76 = 3,336/x
  3. Step 3: Cross multiply
    9,492.48x = 14,237.76 × 3,336
  4. Step 4: Simplify right side
    9,492.48x = 47,497,167.36
  5. Step 5: Solve for x
    x = 47,497,167.36/9,492.48
  6. Step 6: Final answer
    x = 5,003.66

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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.