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Finding the Fourth Proportional to 9,590.30, 14,366.29 and 7,619.26

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Solution

The fourth proportional to 9,590.30, 14,366.29 and 7,619.26 is: 11,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.30 : 14,366.29 = 7,619.26 : x
  2. Step 2: Convert to fraction form
    9,590.30/14,366.29 = 7,619.26/x
  3. Step 3: Cross multiply
    9,590.30x = 14,366.29 × 7,619.26
  4. Step 4: Simplify right side
    9,590.30x = 109,460,498.75
  5. Step 5: Solve for x
    x = 109,460,498.75/9,590.30
  6. Step 6: Final answer
    x = 11,413.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.