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Finding the Fourth Proportional to 7,058.60, 9,736.44 and 4,543.96

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Solution

The fourth proportional to 7,058.60, 9,736.44 and 4,543.96 is: 6,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.60 : 9,736.44 = 4,543.96 : x
  2. Step 2: Convert to fraction form
    7,058.60/9,736.44 = 4,543.96/x
  3. Step 3: Cross multiply
    7,058.60x = 9,736.44 × 4,543.96
  4. Step 4: Simplify right side
    7,058.60x = 44,241,993.90
  5. Step 5: Solve for x
    x = 44,241,993.90/7,058.60
  6. Step 6: Final answer
    x = 6,267.81

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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.