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Finding the Fourth Proportional to 9,823.87, 14,749.98 and 9,348

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Solution

The fourth proportional to 9,823.87, 14,749.98 and 9,348 is: 14,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.87 : 14,749.98 = 9,348 : x
  2. Step 2: Convert to fraction form
    9,823.87/14,749.98 = 9,348/x
  3. Step 3: Cross multiply
    9,823.87x = 14,749.98 × 9,348
  4. Step 4: Simplify right side
    9,823.87x = 137,882,813.04
  5. Step 5: Solve for x
    x = 137,882,813.04/9,823.87
  6. Step 6: Final answer
    x = 14,035.49

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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.