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Finding the Fourth Proportional to 9,389.84, 14,075.42 and 5,231.74

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Solution

The fourth proportional to 9,389.84, 14,075.42 and 5,231.74 is: 7,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.84 : 14,075.42 = 5,231.74 : x
  2. Step 2: Convert to fraction form
    9,389.84/14,075.42 = 5,231.74/x
  3. Step 3: Cross multiply
    9,389.84x = 14,075.42 × 5,231.74
  4. Step 4: Simplify right side
    9,389.84x = 73,638,937.83
  5. Step 5: Solve for x
    x = 73,638,937.83/9,389.84
  6. Step 6: Final answer
    x = 7,842.41

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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.