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Finding the Fourth Proportional to 6,475.77, 9,713.36 and 2,316.06

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Solution

The fourth proportional to 6,475.77, 9,713.36 and 2,316.06 is: 3,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.77 : 9,713.36 = 2,316.06 : x
  2. Step 2: Convert to fraction form
    6,475.77/9,713.36 = 2,316.06/x
  3. Step 3: Cross multiply
    6,475.77x = 9,713.36 × 2,316.06
  4. Step 4: Simplify right side
    6,475.77x = 22,496,712.98
  5. Step 5: Solve for x
    x = 22,496,712.98/6,475.77
  6. Step 6: Final answer
    x = 3,473.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.