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Finding the Fourth Proportional to 9,569.77, 13,206.35 and 5,590.13

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Solution

The fourth proportional to 9,569.77, 13,206.35 and 5,590.13 is: 7,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.77 : 13,206.35 = 5,590.13 : x
  2. Step 2: Convert to fraction form
    9,569.77/13,206.35 = 5,590.13/x
  3. Step 3: Cross multiply
    9,569.77x = 13,206.35 × 5,590.13
  4. Step 4: Simplify right side
    9,569.77x = 73,825,161.27
  5. Step 5: Solve for x
    x = 73,825,161.27/9,569.77
  6. Step 6: Final answer
    x = 7,714.42

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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.