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Finding the Fourth Proportional to 6,920.70, 9,547.38 and 4,087.32

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Solution

The fourth proportional to 6,920.70, 9,547.38 and 4,087.32 is: 5,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.70 : 9,547.38 = 4,087.32 : x
  2. Step 2: Convert to fraction form
    6,920.70/9,547.38 = 4,087.32/x
  3. Step 3: Cross multiply
    6,920.70x = 9,547.38 × 4,087.32
  4. Step 4: Simplify right side
    6,920.70x = 39,023,197.22
  5. Step 5: Solve for x
    x = 39,023,197.22/6,920.70
  6. Step 6: Final answer
    x = 5,638.62

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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.