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Finding the Fourth Proportional to 9,509.76, 14,261.76 and 2,583.36

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Solution

The fourth proportional to 9,509.76, 14,261.76 and 2,583.36 is: 3,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.76 : 14,261.76 = 2,583.36 : x
  2. Step 2: Convert to fraction form
    9,509.76/14,261.76 = 2,583.36/x
  3. Step 3: Cross multiply
    9,509.76x = 14,261.76 × 2,583.36
  4. Step 4: Simplify right side
    9,509.76x = 36,843,260.31
  5. Step 5: Solve for x
    x = 36,843,260.31/9,509.76
  6. Step 6: Final answer
    x = 3,874.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.