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Finding the Fourth Proportional to 6,532.88, 9,010.16 and 4,297.05

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Solution

The fourth proportional to 6,532.88, 9,010.16 and 4,297.05 is: 5,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.88 : 9,010.16 = 4,297.05 : x
  2. Step 2: Convert to fraction form
    6,532.88/9,010.16 = 4,297.05/x
  3. Step 3: Cross multiply
    6,532.88x = 9,010.16 × 4,297.05
  4. Step 4: Simplify right side
    6,532.88x = 38,717,108.03
  5. Step 5: Solve for x
    x = 38,717,108.03/6,532.88
  6. Step 6: Final answer
    x = 5,926.50

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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.