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Finding the Fourth Proportional to 6,468.48, 9,700.34 and 2,307.38

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Solution

The fourth proportional to 6,468.48, 9,700.34 and 2,307.38 is: 3,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.48 : 9,700.34 = 2,307.38 : x
  2. Step 2: Convert to fraction form
    6,468.48/9,700.34 = 2,307.38/x
  3. Step 3: Cross multiply
    6,468.48x = 9,700.34 × 2,307.38
  4. Step 4: Simplify right side
    6,468.48x = 22,382,310.47
  5. Step 5: Solve for x
    x = 22,382,310.47/6,468.48
  6. Step 6: Final answer
    x = 3,460.21

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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.