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Finding the Fourth Proportional to 9,873.38, 13,624.88 and 5,397.30

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Solution

The fourth proportional to 9,873.38, 13,624.88 and 5,397.30 is: 7,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.38 : 13,624.88 = 5,397.30 : x
  2. Step 2: Convert to fraction form
    9,873.38/13,624.88 = 5,397.30/x
  3. Step 3: Cross multiply
    9,873.38x = 13,624.88 × 5,397.30
  4. Step 4: Simplify right side
    9,873.38x = 73,537,537.84
  5. Step 5: Solve for x
    x = 73,537,537.84/9,873.38
  6. Step 6: Final answer
    x = 7,448.06

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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.