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Finding the Fourth Proportional to 9,597.08, 14,390.22 and 2,932.40

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Solution

The fourth proportional to 9,597.08, 14,390.22 and 2,932.40 is: 4,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.08 : 14,390.22 = 2,932.40 : x
  2. Step 2: Convert to fraction form
    9,597.08/14,390.22 = 2,932.40/x
  3. Step 3: Cross multiply
    9,597.08x = 14,390.22 × 2,932.40
  4. Step 4: Simplify right side
    9,597.08x = 42,197,881.13
  5. Step 5: Solve for x
    x = 42,197,881.13/9,597.08
  6. Step 6: Final answer
    x = 4,396.95

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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.