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Finding the Fourth Proportional to 6,475.30, 9,713.43 and 2,316.10

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Solution

The fourth proportional to 6,475.30, 9,713.43 and 2,316.10 is: 3,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.30 : 9,713.43 = 2,316.10 : x
  2. Step 2: Convert to fraction form
    6,475.30/9,713.43 = 2,316.10/x
  3. Step 3: Cross multiply
    6,475.30x = 9,713.43 × 2,316.10
  4. Step 4: Simplify right side
    6,475.30x = 22,497,275.22
  5. Step 5: Solve for x
    x = 22,497,275.22/6,475.30
  6. Step 6: Final answer
    x = 3,474.32

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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.