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Finding the Fourth Proportional to 7,112.88, 9,812.34 and 4,459.32

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Solution

The fourth proportional to 7,112.88, 9,812.34 and 4,459.32 is: 6,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.88 : 9,812.34 = 4,459.32 : x
  2. Step 2: Convert to fraction form
    7,112.88/9,812.34 = 4,459.32/x
  3. Step 3: Cross multiply
    7,112.88x = 9,812.34 × 4,459.32
  4. Step 4: Simplify right side
    7,112.88x = 43,756,364.01
  5. Step 5: Solve for x
    x = 43,756,364.01/7,112.88
  6. Step 6: Final answer
    x = 6,151.71

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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.