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Finding the Fourth Proportional to 9,591.72, 14,368.14 and 4,965

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Solution

The fourth proportional to 9,591.72, 14,368.14 and 4,965 is: 7,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.72 : 14,368.14 = 4,965 : x
  2. Step 2: Convert to fraction form
    9,591.72/14,368.14 = 4,965/x
  3. Step 3: Cross multiply
    9,591.72x = 14,368.14 × 4,965
  4. Step 4: Simplify right side
    9,591.72x = 71,337,815.10
  5. Step 5: Solve for x
    x = 71,337,815.10/9,591.72
  6. Step 6: Final answer
    x = 7,437.44

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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.