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Finding the Fourth Proportional to 9,824.87, 14,751.48 and 9,349

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Solution

The fourth proportional to 9,824.87, 14,751.48 and 9,349 is: 14,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.87 : 14,751.48 = 9,349 : x
  2. Step 2: Convert to fraction form
    9,824.87/14,751.48 = 9,349/x
  3. Step 3: Cross multiply
    9,824.87x = 14,751.48 × 9,349
  4. Step 4: Simplify right side
    9,824.87x = 137,911,586.52
  5. Step 5: Solve for x
    x = 137,911,586.52/9,824.87
  6. Step 6: Final answer
    x = 14,036.99

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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.