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Finding the Fourth Proportional to 7,140.58, 9,852.62 and 4,622.33

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Solution

The fourth proportional to 7,140.58, 9,852.62 and 4,622.33 is: 6,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.58 : 9,852.62 = 4,622.33 : x
  2. Step 2: Convert to fraction form
    7,140.58/9,852.62 = 4,622.33/x
  3. Step 3: Cross multiply
    7,140.58x = 9,852.62 × 4,622.33
  4. Step 4: Simplify right side
    7,140.58x = 45,542,097.19
  5. Step 5: Solve for x
    x = 45,542,097.19/7,140.58
  6. Step 6: Final answer
    x = 6,377.93

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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.