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Finding the Fourth Proportional to 10,574.06, 14,578.38 and 9,097.84

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Solution

The fourth proportional to 10,574.06, 14,578.38 and 9,097.84 is: 12,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.06 : 14,578.38 = 9,097.84 : x
  2. Step 2: Convert to fraction form
    10,574.06/14,578.38 = 9,097.84/x
  3. Step 3: Cross multiply
    10,574.06x = 14,578.38 × 9,097.84
  4. Step 4: Simplify right side
    10,574.06x = 132,631,768.70
  5. Step 5: Solve for x
    x = 132,631,768.70/10,574.06
  6. Step 6: Final answer
    x = 12,543.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.