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Finding the Fourth Proportional to 6,543.06, 9,029.52 and 3,710.30

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Solution

The fourth proportional to 6,543.06, 9,029.52 and 3,710.30 is: 5,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.06 : 9,029.52 = 3,710.30 : x
  2. Step 2: Convert to fraction form
    6,543.06/9,029.52 = 3,710.30/x
  3. Step 3: Cross multiply
    6,543.06x = 9,029.52 × 3,710.30
  4. Step 4: Simplify right side
    6,543.06x = 33,502,182.91
  5. Step 5: Solve for x
    x = 33,502,182.91/6,543.06
  6. Step 6: Final answer
    x = 5,120.26

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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.