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Finding the Fourth Proportional to 9,065, 13,598.94 and 4,134.60

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Solution

The fourth proportional to 9,065, 13,598.94 and 4,134.60 is: 6,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065 : 13,598.94 = 4,134.60 : x
  2. Step 2: Convert to fraction form
    9,065/13,598.94 = 4,134.60/x
  3. Step 3: Cross multiply
    9,065x = 13,598.94 × 4,134.60
  4. Step 4: Simplify right side
    9,065x = 56,226,177.32
  5. Step 5: Solve for x
    x = 56,226,177.32/9,065
  6. Step 6: Final answer
    x = 6,202.56

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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.