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Finding the Fourth Proportional to 7,128.35, 9,782.82 and 6,562.46

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Solution

The fourth proportional to 7,128.35, 9,782.82 and 6,562.46 is: 9,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.35 : 9,782.82 = 6,562.46 : x
  2. Step 2: Convert to fraction form
    7,128.35/9,782.82 = 6,562.46/x
  3. Step 3: Cross multiply
    7,128.35x = 9,782.82 × 6,562.46
  4. Step 4: Simplify right side
    7,128.35x = 64,199,316.02
  5. Step 5: Solve for x
    x = 64,199,316.02/7,128.35
  6. Step 6: Final answer
    x = 9,006.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.