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Finding the Fourth Proportional to 7,089.28, 9,783.06 and 4,256.96

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Solution

The fourth proportional to 7,089.28, 9,783.06 and 4,256.96 is: 5,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.28 : 9,783.06 = 4,256.96 : x
  2. Step 2: Convert to fraction form
    7,089.28/9,783.06 = 4,256.96/x
  3. Step 3: Cross multiply
    7,089.28x = 9,783.06 × 4,256.96
  4. Step 4: Simplify right side
    7,089.28x = 41,646,095.10
  5. Step 5: Solve for x
    x = 41,646,095.10/7,089.28
  6. Step 6: Final answer
    x = 5,874.52

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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.