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Finding the Fourth Proportional to 9,095.54, 13,643.32 and 4,092.07

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Solution

The fourth proportional to 9,095.54, 13,643.32 and 4,092.07 is: 6,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.54 : 13,643.32 = 4,092.07 : x
  2. Step 2: Convert to fraction form
    9,095.54/13,643.32 = 4,092.07/x
  3. Step 3: Cross multiply
    9,095.54x = 13,643.32 × 4,092.07
  4. Step 4: Simplify right side
    9,095.54x = 55,829,466.95
  5. Step 5: Solve for x
    x = 55,829,466.95/9,095.54
  6. Step 6: Final answer
    x = 6,138.11

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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.