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Finding the Fourth Proportional to 9,786.04, 13,503.02 and 5,537.08

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Solution

The fourth proportional to 9,786.04, 13,503.02 and 5,537.08 is: 7,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.04 : 13,503.02 = 5,537.08 : x
  2. Step 2: Convert to fraction form
    9,786.04/13,503.02 = 5,537.08/x
  3. Step 3: Cross multiply
    9,786.04x = 13,503.02 × 5,537.08
  4. Step 4: Simplify right side
    9,786.04x = 74,767,301.98
  5. Step 5: Solve for x
    x = 74,767,301.98/9,786.04
  6. Step 6: Final answer
    x = 7,640.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.