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Finding the Fourth Proportional to 9,359.04, 14,040 and 3,116.91

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Solution

The fourth proportional to 9,359.04, 14,040 and 3,116.91 is: 4,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.04 : 14,040 = 3,116.91 : x
  2. Step 2: Convert to fraction form
    9,359.04/14,040 = 3,116.91/x
  3. Step 3: Cross multiply
    9,359.04x = 14,040 × 3,116.91
  4. Step 4: Simplify right side
    9,359.04x = 43,761,416.40
  5. Step 5: Solve for x
    x = 43,761,416.40/9,359.04
  6. Step 6: Final answer
    x = 4,675.84

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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.