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Finding the Fourth Proportional to 9,811.13, 14,689.72 and 6,852.53

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Solution

The fourth proportional to 9,811.13, 14,689.72 and 6,852.53 is: 10,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.13 : 14,689.72 = 6,852.53 : x
  2. Step 2: Convert to fraction form
    9,811.13/14,689.72 = 6,852.53/x
  3. Step 3: Cross multiply
    9,811.13x = 14,689.72 × 6,852.53
  4. Step 4: Simplify right side
    9,811.13x = 100,661,746.99
  5. Step 5: Solve for x
    x = 100,661,746.99/9,811.13
  6. Step 6: Final answer
    x = 10,259.95

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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.