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Finding the Fourth Proportional to 9,205.10, 13,814.64 and 6,746.34

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Solution

The fourth proportional to 9,205.10, 13,814.64 and 6,746.34 is: 10,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.10 : 13,814.64 = 6,746.34 : x
  2. Step 2: Convert to fraction form
    9,205.10/13,814.64 = 6,746.34/x
  3. Step 3: Cross multiply
    9,205.10x = 13,814.64 × 6,746.34
  4. Step 4: Simplify right side
    9,205.10x = 93,198,258.42
  5. Step 5: Solve for x
    x = 93,198,258.42/9,205.10
  6. Step 6: Final answer
    x = 10,124.64

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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.