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Finding the Fourth Proportional to 9,796.14, 14,696.70 and 4,534.93

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Solution

The fourth proportional to 9,796.14, 14,696.70 and 4,534.93 is: 6,803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.14 : 14,696.70 = 4,534.93 : x
  2. Step 2: Convert to fraction form
    9,796.14/14,696.70 = 4,534.93/x
  3. Step 3: Cross multiply
    9,796.14x = 14,696.70 × 4,534.93
  4. Step 4: Simplify right side
    9,796.14x = 66,648,507.10
  5. Step 5: Solve for x
    x = 66,648,507.10/9,796.14
  6. Step 6: Final answer
    x = 6,803.55

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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.