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Finding the Fourth Proportional to 7,101.98, 9,797.85 and 4,713.08

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Solution

The fourth proportional to 7,101.98, 9,797.85 and 4,713.08 is: 6,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.98 : 9,797.85 = 4,713.08 : x
  2. Step 2: Convert to fraction form
    7,101.98/9,797.85 = 4,713.08/x
  3. Step 3: Cross multiply
    7,101.98x = 9,797.85 × 4,713.08
  4. Step 4: Simplify right side
    7,101.98x = 46,178,050.88
  5. Step 5: Solve for x
    x = 46,178,050.88/7,101.98
  6. Step 6: Final answer
    x = 6,502.14

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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.