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Finding the Fourth Proportional to 9,462.13, 13,055.10 and 6,105.10

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Solution

The fourth proportional to 9,462.13, 13,055.10 and 6,105.10 is: 8,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.13 : 13,055.10 = 6,105.10 : x
  2. Step 2: Convert to fraction form
    9,462.13/13,055.10 = 6,105.10/x
  3. Step 3: Cross multiply
    9,462.13x = 13,055.10 × 6,105.10
  4. Step 4: Simplify right side
    9,462.13x = 79,702,691.01
  5. Step 5: Solve for x
    x = 79,702,691.01/9,462.13
  6. Step 6: Final answer
    x = 8,423.34

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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.