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Finding the Fourth Proportional to 9,582.10, 13,220.71 and 5,604.19

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Solution

The fourth proportional to 9,582.10, 13,220.71 and 5,604.19 is: 7,732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.10 : 13,220.71 = 5,604.19 : x
  2. Step 2: Convert to fraction form
    9,582.10/13,220.71 = 5,604.19/x
  3. Step 3: Cross multiply
    9,582.10x = 13,220.71 × 5,604.19
  4. Step 4: Simplify right side
    9,582.10x = 74,091,370.77
  5. Step 5: Solve for x
    x = 74,091,370.77/9,582.10
  6. Step 6: Final answer
    x = 7,732.27

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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.