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Finding the Fourth Proportional to 9,046.42, 12,482.94 and 5,270.86

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Solution

The fourth proportional to 9,046.42, 12,482.94 and 5,270.86 is: 7,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.42 : 12,482.94 = 5,270.86 : x
  2. Step 2: Convert to fraction form
    9,046.42/12,482.94 = 5,270.86/x
  3. Step 3: Cross multiply
    9,046.42x = 12,482.94 × 5,270.86
  4. Step 4: Simplify right side
    9,046.42x = 65,795,829.13
  5. Step 5: Solve for x
    x = 65,795,829.13/9,046.42
  6. Step 6: Final answer
    x = 7,273.13

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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.