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Finding the Fourth Proportional to 9,139.84, 13,709.76 and 2,566.08

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Solution

The fourth proportional to 9,139.84, 13,709.76 and 2,566.08 is: 3,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.84 : 13,709.76 = 2,566.08 : x
  2. Step 2: Convert to fraction form
    9,139.84/13,709.76 = 2,566.08/x
  3. Step 3: Cross multiply
    9,139.84x = 13,709.76 × 2,566.08
  4. Step 4: Simplify right side
    9,139.84x = 35,180,331.32
  5. Step 5: Solve for x
    x = 35,180,331.32/9,139.84
  6. Step 6: Final answer
    x = 3,849.12

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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.