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Finding the Fourth Proportional to 9,690.95, 14,596.28 and 9,224.39

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Solution

The fourth proportional to 9,690.95, 14,596.28 and 9,224.39 is: 13,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.95 : 14,596.28 = 9,224.39 : x
  2. Step 2: Convert to fraction form
    9,690.95/14,596.28 = 9,224.39/x
  3. Step 3: Cross multiply
    9,690.95x = 14,596.28 × 9,224.39
  4. Step 4: Simplify right side
    9,690.95x = 134,641,660.17
  5. Step 5: Solve for x
    x = 134,641,660.17/9,690.95
  6. Step 6: Final answer
    x = 13,893.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.