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Finding the Fourth Proportional to 10,004.92, 13,797.57 and 9,210

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Solution

The fourth proportional to 10,004.92, 13,797.57 and 9,210 is: 12,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.92 : 13,797.57 = 9,210 : x
  2. Step 2: Convert to fraction form
    10,004.92/13,797.57 = 9,210/x
  3. Step 3: Cross multiply
    10,004.92x = 13,797.57 × 9,210
  4. Step 4: Simplify right side
    10,004.92x = 127,075,619.70
  5. Step 5: Solve for x
    x = 127,075,619.70/10,004.92
  6. Step 6: Final answer
    x = 12,701.31

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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.