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Finding the Fourth Proportional to 9,313.50, 13,971.06 and 2,388

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Solution

The fourth proportional to 9,313.50, 13,971.06 and 2,388 is: 3,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.50 : 13,971.06 = 2,388 : x
  2. Step 2: Convert to fraction form
    9,313.50/13,971.06 = 2,388/x
  3. Step 3: Cross multiply
    9,313.50x = 13,971.06 × 2,388
  4. Step 4: Simplify right side
    9,313.50x = 33,362,891.28
  5. Step 5: Solve for x
    x = 33,362,891.28/9,313.50
  6. Step 6: Final answer
    x = 3,582.21

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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.