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Finding the Fourth Proportional to 6,547.98, 9,036.30 and 3,563.88

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Solution

The fourth proportional to 6,547.98, 9,036.30 and 3,563.88 is: 4,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.98 : 9,036.30 = 3,563.88 : x
  2. Step 2: Convert to fraction form
    6,547.98/9,036.30 = 3,563.88/x
  3. Step 3: Cross multiply
    6,547.98x = 9,036.30 × 3,563.88
  4. Step 4: Simplify right side
    6,547.98x = 32,204,288.84
  5. Step 5: Solve for x
    x = 32,204,288.84/6,547.98
  6. Step 6: Final answer
    x = 4,918.20

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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.