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Finding the Fourth Proportional to 9,597.60, 14,396.14 and 2,934.08

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Solution

The fourth proportional to 9,597.60, 14,396.14 and 2,934.08 is: 4,401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.60 : 14,396.14 = 2,934.08 : x
  2. Step 2: Convert to fraction form
    9,597.60/14,396.14 = 2,934.08/x
  3. Step 3: Cross multiply
    9,597.60x = 14,396.14 × 2,934.08
  4. Step 4: Simplify right side
    9,597.60x = 42,239,426.45
  5. Step 5: Solve for x
    x = 42,239,426.45/9,597.60
  6. Step 6: Final answer
    x = 4,401.04

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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.