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Finding the Fourth Proportional to 6,915.72, 9,547.44 and 4,227.56

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Solution

The fourth proportional to 6,915.72, 9,547.44 and 4,227.56 is: 5,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.72 : 9,547.44 = 4,227.56 : x
  2. Step 2: Convert to fraction form
    6,915.72/9,547.44 = 4,227.56/x
  3. Step 3: Cross multiply
    6,915.72x = 9,547.44 × 4,227.56
  4. Step 4: Simplify right side
    6,915.72x = 40,362,347.66
  5. Step 5: Solve for x
    x = 40,362,347.66/6,915.72
  6. Step 6: Final answer
    x = 5,836.32

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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.