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Finding the Fourth Proportional to 9,361, 14,045.16 and 3,518.08

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Solution

The fourth proportional to 9,361, 14,045.16 and 3,518.08 is: 5,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361 : 14,045.16 = 3,518.08 : x
  2. Step 2: Convert to fraction form
    9,361/14,045.16 = 3,518.08/x
  3. Step 3: Cross multiply
    9,361x = 14,045.16 × 3,518.08
  4. Step 4: Simplify right side
    9,361x = 49,411,996.49
  5. Step 5: Solve for x
    x = 49,411,996.49/9,361
  6. Step 6: Final answer
    x = 5,278.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.