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Finding the Fourth Proportional to 9,582.72, 13,225.71 and 5,808.52

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Solution

The fourth proportional to 9,582.72, 13,225.71 and 5,808.52 is: 8,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.72 : 13,225.71 = 5,808.52 : x
  2. Step 2: Convert to fraction form
    9,582.72/13,225.71 = 5,808.52/x
  3. Step 3: Cross multiply
    9,582.72x = 13,225.71 × 5,808.52
  4. Step 4: Simplify right side
    9,582.72x = 76,821,801.05
  5. Step 5: Solve for x
    x = 76,821,801.05/9,582.72
  6. Step 6: Final answer
    x = 8,016.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.