Home / 9,814.08-13,544-5,565.31

Finding the Fourth Proportional to 9,814.08, 13,544 and 5,565.31

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Solution

The fourth proportional to 9,814.08, 13,544 and 5,565.31 is: 7,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.08 : 13,544 = 5,565.31 : x
  2. Step 2: Convert to fraction form
    9,814.08/13,544 = 5,565.31/x
  3. Step 3: Cross multiply
    9,814.08x = 13,544 × 5,565.31
  4. Step 4: Simplify right side
    9,814.08x = 75,376,558.64
  5. Step 5: Solve for x
    x = 75,376,558.64/9,814.08
  6. Step 6: Final answer
    x = 7,680.45

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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.