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Finding the Fourth Proportional to 6,530.90, 9,012.65 and 3,546.78

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Solution

The fourth proportional to 6,530.90, 9,012.65 and 3,546.78 is: 4,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.90 : 9,012.65 = 3,546.78 : x
  2. Step 2: Convert to fraction form
    6,530.90/9,012.65 = 3,546.78/x
  3. Step 3: Cross multiply
    6,530.90x = 9,012.65 × 3,546.78
  4. Step 4: Simplify right side
    6,530.90x = 31,965,895.63
  5. Step 5: Solve for x
    x = 31,965,895.63/6,530.90
  6. Step 6: Final answer
    x = 4,894.57

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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.