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Finding the Fourth Proportional to 9,673.60, 14,507.31 and 3,098.23

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Solution

The fourth proportional to 9,673.60, 14,507.31 and 3,098.23 is: 4,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.60 : 14,507.31 = 3,098.23 : x
  2. Step 2: Convert to fraction form
    9,673.60/14,507.31 = 3,098.23/x
  3. Step 3: Cross multiply
    9,673.60x = 14,507.31 × 3,098.23
  4. Step 4: Simplify right side
    9,673.60x = 44,946,983.06
  5. Step 5: Solve for x
    x = 44,946,983.06/9,673.60
  6. Step 6: Final answer
    x = 4,646.36

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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.