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Finding the Fourth Proportional to 6,530.70, 9,012.33 and 3,546.51

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Solution

The fourth proportional to 6,530.70, 9,012.33 and 3,546.51 is: 4,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.70 : 9,012.33 = 3,546.51 : x
  2. Step 2: Convert to fraction form
    6,530.70/9,012.33 = 3,546.51/x
  3. Step 3: Cross multiply
    6,530.70x = 9,012.33 × 3,546.51
  4. Step 4: Simplify right side
    6,530.70x = 31,962,318.47
  5. Step 5: Solve for x
    x = 31,962,318.47/6,530.70
  6. Step 6: Final answer
    x = 4,894.16

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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.