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Finding the Fourth Proportional to 9,185, 12,675.30 and 5,459

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Solution

The fourth proportional to 9,185, 12,675.30 and 5,459 is: 7,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185 : 12,675.30 = 5,459 : x
  2. Step 2: Convert to fraction form
    9,185/12,675.30 = 5,459/x
  3. Step 3: Cross multiply
    9,185x = 12,675.30 × 5,459
  4. Step 4: Simplify right side
    9,185x = 69,194,462.70
  5. Step 5: Solve for x
    x = 69,194,462.70/9,185
  6. Step 6: Final answer
    x = 7,533.42

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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.