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Finding the Fourth Proportional to 6,530.63, 9,011.66 and 3,878.69

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Solution

The fourth proportional to 6,530.63, 9,011.66 and 3,878.69 is: 5,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.63 : 9,011.66 = 3,878.69 : x
  2. Step 2: Convert to fraction form
    6,530.63/9,011.66 = 3,878.69/x
  3. Step 3: Cross multiply
    6,530.63x = 9,011.66 × 3,878.69
  4. Step 4: Simplify right side
    6,530.63x = 34,953,371.07
  5. Step 5: Solve for x
    x = 34,953,371.07/6,530.63
  6. Step 6: Final answer
    x = 5,352.22

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