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Finding the Fourth Proportional to 9,533.30, 13,156.43 and 5,498.62

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Solution

The fourth proportional to 9,533.30, 13,156.43 and 5,498.62 is: 7,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.30 : 13,156.43 = 5,498.62 : x
  2. Step 2: Convert to fraction form
    9,533.30/13,156.43 = 5,498.62/x
  3. Step 3: Cross multiply
    9,533.30x = 13,156.43 × 5,498.62
  4. Step 4: Simplify right side
    9,533.30x = 72,342,253.68
  5. Step 5: Solve for x
    x = 72,342,253.68/9,533.30
  6. Step 6: Final answer
    x = 7,588.38

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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.