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Finding the Fourth Proportional to 9,282.34, 13,904.95 and 5,582.55

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Solution

The fourth proportional to 9,282.34, 13,904.95 and 5,582.55 is: 8,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.34 : 13,904.95 = 5,582.55 : x
  2. Step 2: Convert to fraction form
    9,282.34/13,904.95 = 5,582.55/x
  3. Step 3: Cross multiply
    9,282.34x = 13,904.95 × 5,582.55
  4. Step 4: Simplify right side
    9,282.34x = 77,625,078.62
  5. Step 5: Solve for x
    x = 77,625,078.62/9,282.34
  6. Step 6: Final answer
    x = 8,362.66

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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.