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Finding the Fourth Proportional to 9,620.64, 14,398.14 and 5,925.42

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Solution

The fourth proportional to 9,620.64, 14,398.14 and 5,925.42 is: 8,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.64 : 14,398.14 = 5,925.42 : x
  2. Step 2: Convert to fraction form
    9,620.64/14,398.14 = 5,925.42/x
  3. Step 3: Cross multiply
    9,620.64x = 14,398.14 × 5,925.42
  4. Step 4: Simplify right side
    9,620.64x = 85,315,026.72
  5. Step 5: Solve for x
    x = 85,315,026.72/9,620.64
  6. Step 6: Final answer
    x = 8,867.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.