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Finding the Fourth Proportional to 9,596.99, 14,397.30 and 3,358.77

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Solution

The fourth proportional to 9,596.99, 14,397.30 and 3,358.77 is: 5,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.99 : 14,397.30 = 3,358.77 : x
  2. Step 2: Convert to fraction form
    9,596.99/14,397.30 = 3,358.77/x
  3. Step 3: Cross multiply
    9,596.99x = 14,397.30 × 3,358.77
  4. Step 4: Simplify right side
    9,596.99x = 48,357,219.32
  5. Step 5: Solve for x
    x = 48,357,219.32/9,596.99
  6. Step 6: Final answer
    x = 5,038.79

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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.