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Finding the Fourth Proportional to 6,308.60, 9,463.43 and 1,628.57

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Solution

The fourth proportional to 6,308.60, 9,463.43 and 1,628.57 is: 2,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.60 : 9,463.43 = 1,628.57 : x
  2. Step 2: Convert to fraction form
    6,308.60/9,463.43 = 1,628.57/x
  3. Step 3: Cross multiply
    6,308.60x = 9,463.43 × 1,628.57
  4. Step 4: Simplify right side
    6,308.60x = 15,411,802.74
  5. Step 5: Solve for x
    x = 15,411,802.74/6,308.60
  6. Step 6: Final answer
    x = 2,442.98

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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.