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Finding the Fourth Proportional to 9,583.70, 14,362.05 and 7,612.70

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Solution

The fourth proportional to 9,583.70, 14,362.05 and 7,612.70 is: 11,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.70 : 14,362.05 = 7,612.70 : x
  2. Step 2: Convert to fraction form
    9,583.70/14,362.05 = 7,612.70/x
  3. Step 3: Cross multiply
    9,583.70x = 14,362.05 × 7,612.70
  4. Step 4: Simplify right side
    9,583.70x = 109,333,978.04
  5. Step 5: Solve for x
    x = 109,333,978.04/9,583.70
  6. Step 6: Final answer
    x = 11,408.33

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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.