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Finding the Fourth Proportional to 9,582.08, 13,223.52 and 5,804.45

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Solution

The fourth proportional to 9,582.08, 13,223.52 and 5,804.45 is: 8,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.08 : 13,223.52 = 5,804.45 : x
  2. Step 2: Convert to fraction form
    9,582.08/13,223.52 = 5,804.45/x
  3. Step 3: Cross multiply
    9,582.08x = 13,223.52 × 5,804.45
  4. Step 4: Simplify right side
    9,582.08x = 76,755,194.55
  5. Step 5: Solve for x
    x = 76,755,194.55/9,582.08
  6. Step 6: Final answer
    x = 8,010.29

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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.