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Finding the Fourth Proportional to 6,701.10, 9,258.64 and 5,295.56

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Solution

The fourth proportional to 6,701.10, 9,258.64 and 5,295.56 is: 7,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.10 : 9,258.64 = 5,295.56 : x
  2. Step 2: Convert to fraction form
    6,701.10/9,258.64 = 5,295.56/x
  3. Step 3: Cross multiply
    6,701.10x = 9,258.64 × 5,295.56
  4. Step 4: Simplify right side
    6,701.10x = 49,029,676.19
  5. Step 5: Solve for x
    x = 49,029,676.19/6,701.10
  6. Step 6: Final answer
    x = 7,316.66

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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.