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Finding the Fourth Proportional to 9,670.54, 13,345.38 and 5,639.75

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Solution

The fourth proportional to 9,670.54, 13,345.38 and 5,639.75 is: 7,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.54 : 13,345.38 = 5,639.75 : x
  2. Step 2: Convert to fraction form
    9,670.54/13,345.38 = 5,639.75/x
  3. Step 3: Cross multiply
    9,670.54x = 13,345.38 × 5,639.75
  4. Step 4: Simplify right side
    9,670.54x = 75,264,606.86
  5. Step 5: Solve for x
    x = 75,264,606.86/9,670.54
  6. Step 6: Final answer
    x = 7,782.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.