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Finding the Fourth Proportional to 9,281.84, 13,904.21 and 5,582.04

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Solution

The fourth proportional to 9,281.84, 13,904.21 and 5,582.04 is: 8,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.84 : 13,904.21 = 5,582.04 : x
  2. Step 2: Convert to fraction form
    9,281.84/13,904.21 = 5,582.04/x
  3. Step 3: Cross multiply
    9,281.84x = 13,904.21 × 5,582.04
  4. Step 4: Simplify right side
    9,281.84x = 77,613,856.39
  5. Step 5: Solve for x
    x = 77,613,856.39/9,281.84
  6. Step 6: Final answer
    x = 8,361.90

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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.