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Finding the Fourth Proportional to 9,237.84, 13,853.92 and 6,075.16

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Solution

The fourth proportional to 9,237.84, 13,853.92 and 6,075.16 is: 9,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.84 : 13,853.92 = 6,075.16 : x
  2. Step 2: Convert to fraction form
    9,237.84/13,853.92 = 6,075.16/x
  3. Step 3: Cross multiply
    9,237.84x = 13,853.92 × 6,075.16
  4. Step 4: Simplify right side
    9,237.84x = 84,164,780.63
  5. Step 5: Solve for x
    x = 84,164,780.63/9,237.84
  6. Step 6: Final answer
    x = 9,110.87

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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.