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Finding the Fourth Proportional to 6,445.68, 9,666.72 and 2,285.16

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Solution

The fourth proportional to 6,445.68, 9,666.72 and 2,285.16 is: 3,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.68 : 9,666.72 = 2,285.16 : x
  2. Step 2: Convert to fraction form
    6,445.68/9,666.72 = 2,285.16/x
  3. Step 3: Cross multiply
    6,445.68x = 9,666.72 × 2,285.16
  4. Step 4: Simplify right side
    6,445.68x = 22,090,001.88
  5. Step 5: Solve for x
    x = 22,090,001.88/6,445.68
  6. Step 6: Final answer
    x = 3,427.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.