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Finding the Fourth Proportional to 9,583.76, 14,376.72 and 4,388.96

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Solution

The fourth proportional to 9,583.76, 14,376.72 and 4,388.96 is: 6,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.76 : 14,376.72 = 4,388.96 : x
  2. Step 2: Convert to fraction form
    9,583.76/14,376.72 = 4,388.96/x
  3. Step 3: Cross multiply
    9,583.76x = 14,376.72 × 4,388.96
  4. Step 4: Simplify right side
    9,583.76x = 63,098,849.01
  5. Step 5: Solve for x
    x = 63,098,849.01/9,583.76
  6. Step 6: Final answer
    x = 6,583.93

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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.