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Finding the Fourth Proportional to 6,746.84, 9,316.51 and 4,233.27

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Solution

The fourth proportional to 6,746.84, 9,316.51 and 4,233.27 is: 5,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.84 : 9,316.51 = 4,233.27 : x
  2. Step 2: Convert to fraction form
    6,746.84/9,316.51 = 4,233.27/x
  3. Step 3: Cross multiply
    6,746.84x = 9,316.51 × 4,233.27
  4. Step 4: Simplify right side
    6,746.84x = 39,439,302.29
  5. Step 5: Solve for x
    x = 39,439,302.29/6,746.84
  6. Step 6: Final answer
    x = 5,845.60

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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.