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Finding the Fourth Proportional to 7,128.83, 9,816.26 and 6,461.46

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Solution

The fourth proportional to 7,128.83, 9,816.26 and 6,461.46 is: 8,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.83 : 9,816.26 = 6,461.46 : x
  2. Step 2: Convert to fraction form
    7,128.83/9,816.26 = 6,461.46/x
  3. Step 3: Cross multiply
    7,128.83x = 9,816.26 × 6,461.46
  4. Step 4: Simplify right side
    7,128.83x = 63,427,339.03
  5. Step 5: Solve for x
    x = 63,427,339.03/7,128.83
  6. Step 6: Final answer
    x = 8,897.30

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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.