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Finding the Fourth Proportional to 9,796.95, 14,690.93 and 3,132.16

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Solution

The fourth proportional to 9,796.95, 14,690.93 and 3,132.16 is: 4,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.95 : 14,690.93 = 3,132.16 : x
  2. Step 2: Convert to fraction form
    9,796.95/14,690.93 = 3,132.16/x
  3. Step 3: Cross multiply
    9,796.95x = 14,690.93 × 3,132.16
  4. Step 4: Simplify right side
    9,796.95x = 46,014,292.28
  5. Step 5: Solve for x
    x = 46,014,292.28/9,796.95
  6. Step 6: Final answer
    x = 4,696.80

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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.