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Finding the Fourth Proportional to 6,455.10, 9,658.35 and 4,268.10

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Solution

The fourth proportional to 6,455.10, 9,658.35 and 4,268.10 is: 6,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.10 : 9,658.35 = 4,268.10 : x
  2. Step 2: Convert to fraction form
    6,455.10/9,658.35 = 4,268.10/x
  3. Step 3: Cross multiply
    6,455.10x = 9,658.35 × 4,268.10
  4. Step 4: Simplify right side
    6,455.10x = 41,222,803.64
  5. Step 5: Solve for x
    x = 41,222,803.64/6,455.10
  6. Step 6: Final answer
    x = 6,386.08

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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.