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Finding the Fourth Proportional to 9,624, 13,281.16 and 5,208

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Solution

The fourth proportional to 9,624, 13,281.16 and 5,208 is: 7,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624 : 13,281.16 = 5,208 : x
  2. Step 2: Convert to fraction form
    9,624/13,281.16 = 5,208/x
  3. Step 3: Cross multiply
    9,624x = 13,281.16 × 5,208
  4. Step 4: Simplify right side
    9,624x = 69,168,281.28
  5. Step 5: Solve for x
    x = 69,168,281.28/9,624
  6. Step 6: Final answer
    x = 7,187.06

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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.