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Finding the Fourth Proportional to 6,460.13, 9,730.10 and 6,149.09

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Solution

The fourth proportional to 6,460.13, 9,730.10 and 6,149.09 is: 9,261.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.13 : 9,730.10 = 6,149.09 : x
  2. Step 2: Convert to fraction form
    6,460.13/9,730.10 = 6,149.09/x
  3. Step 3: Cross multiply
    6,460.13x = 9,730.10 × 6,149.09
  4. Step 4: Simplify right side
    6,460.13x = 59,831,260.61
  5. Step 5: Solve for x
    x = 59,831,260.61/6,460.13
  6. Step 6: Final answer
    x = 9,261.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.