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Finding the Fourth Proportional to 6,781.26, 9,362.48 and 4,656.10

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Solution

The fourth proportional to 6,781.26, 9,362.48 and 4,656.10 is: 6,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.26 : 9,362.48 = 4,656.10 : x
  2. Step 2: Convert to fraction form
    6,781.26/9,362.48 = 4,656.10/x
  3. Step 3: Cross multiply
    6,781.26x = 9,362.48 × 4,656.10
  4. Step 4: Simplify right side
    6,781.26x = 43,592,643.13
  5. Step 5: Solve for x
    x = 43,592,643.13/6,781.26
  6. Step 6: Final answer
    x = 6,428.40

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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.