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Finding the Fourth Proportional to 6,445.69, 9,670.15 and 1,828.69

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Solution

The fourth proportional to 6,445.69, 9,670.15 and 1,828.69 is: 2,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.69 : 9,670.15 = 1,828.69 : x
  2. Step 2: Convert to fraction form
    6,445.69/9,670.15 = 1,828.69/x
  3. Step 3: Cross multiply
    6,445.69x = 9,670.15 × 1,828.69
  4. Step 4: Simplify right side
    6,445.69x = 17,683,684.71
  5. Step 5: Solve for x
    x = 17,683,684.71/6,445.69
  6. Step 6: Final answer
    x = 2,743.49

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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.