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Finding the Fourth Proportional to 9,754.12, 13,460.67 and 5,506.07

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Solution

The fourth proportional to 9,754.12, 13,460.67 and 5,506.07 is: 7,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.12 : 13,460.67 = 5,506.07 : x
  2. Step 2: Convert to fraction form
    9,754.12/13,460.67 = 5,506.07/x
  3. Step 3: Cross multiply
    9,754.12x = 13,460.67 × 5,506.07
  4. Step 4: Simplify right side
    9,754.12x = 74,115,391.27
  5. Step 5: Solve for x
    x = 74,115,391.27/9,754.12
  6. Step 6: Final answer
    x = 7,598.37

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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.