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Finding the Fourth Proportional to 9,509.84, 14,263.68 and 2,582.72

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Solution

The fourth proportional to 9,509.84, 14,263.68 and 2,582.72 is: 3,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.84 : 14,263.68 = 2,582.72 : x
  2. Step 2: Convert to fraction form
    9,509.84/14,263.68 = 2,582.72/x
  3. Step 3: Cross multiply
    9,509.84x = 14,263.68 × 2,582.72
  4. Step 4: Simplify right side
    9,509.84x = 36,839,091.61
  5. Step 5: Solve for x
    x = 36,839,091.61/9,509.84
  6. Step 6: Final answer
    x = 3,873.79

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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.