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Finding the Fourth Proportional to 6,365.44, 9,547.78 and 1,982.28

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Solution

The fourth proportional to 6,365.44, 9,547.78 and 1,982.28 is: 2,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.44 : 9,547.78 = 1,982.28 : x
  2. Step 2: Convert to fraction form
    6,365.44/9,547.78 = 1,982.28/x
  3. Step 3: Cross multiply
    6,365.44x = 9,547.78 × 1,982.28
  4. Step 4: Simplify right side
    6,365.44x = 18,926,373.34
  5. Step 5: Solve for x
    x = 18,926,373.34/6,365.44
  6. Step 6: Final answer
    x = 2,973.30

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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.