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Finding the Fourth Proportional to 6,918.59, 9,547.71 and 3,934.25

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Solution

The fourth proportional to 6,918.59, 9,547.71 and 3,934.25 is: 5,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918.59 : 9,547.71 = 3,934.25 : x
  2. Step 2: Convert to fraction form
    6,918.59/9,547.71 = 3,934.25/x
  3. Step 3: Cross multiply
    6,918.59x = 9,547.71 × 3,934.25
  4. Step 4: Simplify right side
    6,918.59x = 37,563,051.38
  5. Step 5: Solve for x
    x = 37,563,051.38/6,918.59
  6. Step 6: Final answer
    x = 5,429.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.