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Finding the Fourth Proportional to 9,112.25, 12,574.76 and 5,134.07

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Solution

The fourth proportional to 9,112.25, 12,574.76 and 5,134.07 is: 7,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.25 : 12,574.76 = 5,134.07 : x
  2. Step 2: Convert to fraction form
    9,112.25/12,574.76 = 5,134.07/x
  3. Step 3: Cross multiply
    9,112.25x = 12,574.76 × 5,134.07
  4. Step 4: Simplify right side
    9,112.25x = 64,559,609.53
  5. Step 5: Solve for x
    x = 64,559,609.53/9,112.25
  6. Step 6: Final answer
    x = 7,084.93

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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.