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Finding the Fourth Proportional to 9,590.69, 13,237.62 and 8,594.24

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Solution

The fourth proportional to 9,590.69, 13,237.62 and 8,594.24 is: 11,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.69 : 13,237.62 = 8,594.24 : x
  2. Step 2: Convert to fraction form
    9,590.69/13,237.62 = 8,594.24/x
  3. Step 3: Cross multiply
    9,590.69x = 13,237.62 × 8,594.24
  4. Step 4: Simplify right side
    9,590.69x = 113,767,283.31
  5. Step 5: Solve for x
    x = 113,767,283.31/9,590.69
  6. Step 6: Final answer
    x = 11,862.26

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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.