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Finding the Fourth Proportional to 7,070.36, 9,755.34 and 3,925.76

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Solution

The fourth proportional to 7,070.36, 9,755.34 and 3,925.76 is: 5,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.36 : 9,755.34 = 3,925.76 : x
  2. Step 2: Convert to fraction form
    7,070.36/9,755.34 = 3,925.76/x
  3. Step 3: Cross multiply
    7,070.36x = 9,755.34 × 3,925.76
  4. Step 4: Simplify right side
    7,070.36x = 38,297,123.56
  5. Step 5: Solve for x
    x = 38,297,123.56/7,070.36
  6. Step 6: Final answer
    x = 5,416.57

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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.