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Finding the Fourth Proportional to 6,706.40, 9,256.28 and 5,117.18

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Solution

The fourth proportional to 6,706.40, 9,256.28 and 5,117.18 is: 7,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.40 : 9,256.28 = 5,117.18 : x
  2. Step 2: Convert to fraction form
    6,706.40/9,256.28 = 5,117.18/x
  3. Step 3: Cross multiply
    6,706.40x = 9,256.28 × 5,117.18
  4. Step 4: Simplify right side
    6,706.40x = 47,365,979.02
  5. Step 5: Solve for x
    x = 47,365,979.02/6,706.40
  6. Step 6: Final answer
    x = 7,062.81

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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.