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Finding the Fourth Proportional to 7,074.57, 9,759.89 and 4,417.37

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Solution

The fourth proportional to 7,074.57, 9,759.89 and 4,417.37 is: 6,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.57 : 9,759.89 = 4,417.37 : x
  2. Step 2: Convert to fraction form
    7,074.57/9,759.89 = 4,417.37/x
  3. Step 3: Cross multiply
    7,074.57x = 9,759.89 × 4,417.37
  4. Step 4: Simplify right side
    7,074.57x = 43,113,009.85
  5. Step 5: Solve for x
    x = 43,113,009.85/7,074.57
  6. Step 6: Final answer
    x = 6,094.08

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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.