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Finding the Fourth Proportional to 6,407.83, 9,598.23 and 4,066.60

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Solution

The fourth proportional to 6,407.83, 9,598.23 and 4,066.60 is: 6,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.83 : 9,598.23 = 4,066.60 : x
  2. Step 2: Convert to fraction form
    6,407.83/9,598.23 = 4,066.60/x
  3. Step 3: Cross multiply
    6,407.83x = 9,598.23 × 4,066.60
  4. Step 4: Simplify right side
    6,407.83x = 39,032,138.12
  5. Step 5: Solve for x
    x = 39,032,138.12/6,407.83
  6. Step 6: Final answer
    x = 6,091.32

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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.