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Finding the Fourth Proportional to 9,465.16, 14,197.74 and 2,539.84

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Solution

The fourth proportional to 9,465.16, 14,197.74 and 2,539.84 is: 3,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.16 : 14,197.74 = 2,539.84 : x
  2. Step 2: Convert to fraction form
    9,465.16/14,197.74 = 2,539.84/x
  3. Step 3: Cross multiply
    9,465.16x = 14,197.74 × 2,539.84
  4. Step 4: Simplify right side
    9,465.16x = 36,059,987.96
  5. Step 5: Solve for x
    x = 36,059,987.96/9,465.16
  6. Step 6: Final answer
    x = 3,809.76

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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.