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Finding the Fourth Proportional to 9,533.84, 13,156.80 and 5,342

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Solution

The fourth proportional to 9,533.84, 13,156.80 and 5,342 is: 7,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.84 : 13,156.80 = 5,342 : x
  2. Step 2: Convert to fraction form
    9,533.84/13,156.80 = 5,342/x
  3. Step 3: Cross multiply
    9,533.84x = 13,156.80 × 5,342
  4. Step 4: Simplify right side
    9,533.84x = 70,283,625.60
  5. Step 5: Solve for x
    x = 70,283,625.60/9,533.84
  6. Step 6: Final answer
    x = 7,372.02

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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.