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Finding the Fourth Proportional to 9,112.71, 12,573.86 and 5,335.68

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Solution

The fourth proportional to 9,112.71, 12,573.86 and 5,335.68 is: 7,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.71 : 12,573.86 = 5,335.68 : x
  2. Step 2: Convert to fraction form
    9,112.71/12,573.86 = 5,335.68/x
  3. Step 3: Cross multiply
    9,112.71x = 12,573.86 × 5,335.68
  4. Step 4: Simplify right side
    9,112.71x = 67,090,066.65
  5. Step 5: Solve for x
    x = 67,090,066.65/9,112.71
  6. Step 6: Final answer
    x = 7,362.25

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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.