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Finding the Fourth Proportional to 6,547.08, 9,822.18 and 1,930.08

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Solution

The fourth proportional to 6,547.08, 9,822.18 and 1,930.08 is: 2,895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.08 : 9,822.18 = 1,930.08 : x
  2. Step 2: Convert to fraction form
    6,547.08/9,822.18 = 1,930.08/x
  3. Step 3: Cross multiply
    6,547.08x = 9,822.18 × 1,930.08
  4. Step 4: Simplify right side
    6,547.08x = 18,957,593.17
  5. Step 5: Solve for x
    x = 18,957,593.17/6,547.08
  6. Step 6: Final answer
    x = 2,895.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.