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Finding the Fourth Proportional to 9,699.84, 14,554.62 and 3,858.12

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Solution

The fourth proportional to 9,699.84, 14,554.62 and 3,858.12 is: 5,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.84 : 14,554.62 = 3,858.12 : x
  2. Step 2: Convert to fraction form
    9,699.84/14,554.62 = 3,858.12/x
  3. Step 3: Cross multiply
    9,699.84x = 14,554.62 × 3,858.12
  4. Step 4: Simplify right side
    9,699.84x = 56,153,470.51
  5. Step 5: Solve for x
    x = 56,153,470.51/9,699.84
  6. Step 6: Final answer
    x = 5,789.11

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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.