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Finding the Fourth Proportional to 6,547.44, 9,039.56 and 4,866.96

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Solution

The fourth proportional to 6,547.44, 9,039.56 and 4,866.96 is: 6,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.44 : 9,039.56 = 4,866.96 : x
  2. Step 2: Convert to fraction form
    6,547.44/9,039.56 = 4,866.96/x
  3. Step 3: Cross multiply
    6,547.44x = 9,039.56 × 4,866.96
  4. Step 4: Simplify right side
    6,547.44x = 43,995,176.94
  5. Step 5: Solve for x
    x = 43,995,176.94/6,547.44
  6. Step 6: Final answer
    x = 6,719.45

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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.