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Finding the Fourth Proportional to 9,796.84, 14,701.02 and 7,020.52

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Solution

The fourth proportional to 9,796.84, 14,701.02 and 7,020.52 is: 10,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.84 : 14,701.02 = 7,020.52 : x
  2. Step 2: Convert to fraction form
    9,796.84/14,701.02 = 7,020.52/x
  3. Step 3: Cross multiply
    9,796.84x = 14,701.02 × 7,020.52
  4. Step 4: Simplify right side
    9,796.84x = 103,208,804.93
  5. Step 5: Solve for x
    x = 103,208,804.93/9,796.84
  6. Step 6: Final answer
    x = 10,534.91

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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.