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Finding the Fourth Proportional to 9,552.35, 13,182.19 and 5,303.46

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Solution

The fourth proportional to 9,552.35, 13,182.19 and 5,303.46 is: 7,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.35 : 13,182.19 = 5,303.46 : x
  2. Step 2: Convert to fraction form
    9,552.35/13,182.19 = 5,303.46/x
  3. Step 3: Cross multiply
    9,552.35x = 13,182.19 × 5,303.46
  4. Step 4: Simplify right side
    9,552.35x = 69,911,217.38
  5. Step 5: Solve for x
    x = 69,911,217.38/9,552.35
  6. Step 6: Final answer
    x = 7,318.75

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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.