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Finding the Fourth Proportional to 6,477.14, 9,713.33 and 2,316.02

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Solution

The fourth proportional to 6,477.14, 9,713.33 and 2,316.02 is: 3,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.14 : 9,713.33 = 2,316.02 : x
  2. Step 2: Convert to fraction form
    6,477.14/9,713.33 = 2,316.02/x
  3. Step 3: Cross multiply
    6,477.14x = 9,713.33 × 2,316.02
  4. Step 4: Simplify right side
    6,477.14x = 22,496,254.97
  5. Step 5: Solve for x
    x = 22,496,254.97/6,477.14
  6. Step 6: Final answer
    x = 3,473.18

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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.