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Finding the Fourth Proportional to 7,137.28, 9,851.52 and 4,347.84

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Solution

The fourth proportional to 7,137.28, 9,851.52 and 4,347.84 is: 6,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.28 : 9,851.52 = 4,347.84 : x
  2. Step 2: Convert to fraction form
    7,137.28/9,851.52 = 4,347.84/x
  3. Step 3: Cross multiply
    7,137.28x = 9,851.52 × 4,347.84
  4. Step 4: Simplify right side
    7,137.28x = 42,832,832.72
  5. Step 5: Solve for x
    x = 42,832,832.72/7,137.28
  6. Step 6: Final answer
    x = 6,001.28

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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.