Home / 9,094.32-13,644-3,828.06

Finding the Fourth Proportional to 9,094.32, 13,644 and 3,828.06

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Solution

The fourth proportional to 9,094.32, 13,644 and 3,828.06 is: 5,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.32 : 13,644 = 3,828.06 : x
  2. Step 2: Convert to fraction form
    9,094.32/13,644 = 3,828.06/x
  3. Step 3: Cross multiply
    9,094.32x = 13,644 × 3,828.06
  4. Step 4: Simplify right side
    9,094.32x = 52,230,050.64
  5. Step 5: Solve for x
    x = 52,230,050.64/9,094.32
  6. Step 6: Final answer
    x = 5,743.15

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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.