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Finding the Fourth Proportional to 6,547.93, 9,035.27 and 3,894.37

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Solution

The fourth proportional to 6,547.93, 9,035.27 and 3,894.37 is: 5,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.93 : 9,035.27 = 3,894.37 : x
  2. Step 2: Convert to fraction form
    6,547.93/9,035.27 = 3,894.37/x
  3. Step 3: Cross multiply
    6,547.93x = 9,035.27 × 3,894.37
  4. Step 4: Simplify right side
    6,547.93x = 35,186,684.43
  5. Step 5: Solve for x
    x = 35,186,684.43/6,547.93
  6. Step 6: Final answer
    x = 5,373.71

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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.