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Finding the Fourth Proportional to 9,584, 13,225.68 and 5,335.08

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Solution

The fourth proportional to 9,584, 13,225.68 and 5,335.08 is: 7,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584 : 13,225.68 = 5,335.08 : x
  2. Step 2: Convert to fraction form
    9,584/13,225.68 = 5,335.08/x
  3. Step 3: Cross multiply
    9,584x = 13,225.68 × 5,335.08
  4. Step 4: Simplify right side
    9,584x = 70,560,060.85
  5. Step 5: Solve for x
    x = 70,560,060.85/9,584
  6. Step 6: Final answer
    x = 7,362.28

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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.