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Finding the Fourth Proportional to 7,138.32, 9,851.02 and 4,305.66

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Solution

The fourth proportional to 7,138.32, 9,851.02 and 4,305.66 is: 5,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.32 : 9,851.02 = 4,305.66 : x
  2. Step 2: Convert to fraction form
    7,138.32/9,851.02 = 4,305.66/x
  3. Step 3: Cross multiply
    7,138.32x = 9,851.02 × 4,305.66
  4. Step 4: Simplify right side
    7,138.32x = 42,415,142.77
  5. Step 5: Solve for x
    x = 42,415,142.77/7,138.32
  6. Step 6: Final answer
    x = 5,941.89

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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.