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Finding the Fourth Proportional to 7,054.90, 9,735.77 and 4,222.40

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Solution

The fourth proportional to 7,054.90, 9,735.77 and 4,222.40 is: 5,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.90 : 9,735.77 = 4,222.40 : x
  2. Step 2: Convert to fraction form
    7,054.90/9,735.77 = 4,222.40/x
  3. Step 3: Cross multiply
    7,054.90x = 9,735.77 × 4,222.40
  4. Step 4: Simplify right side
    7,054.90x = 41,108,277.13
  5. Step 5: Solve for x
    x = 41,108,277.13/7,054.90
  6. Step 6: Final answer
    x = 5,826.91

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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.