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Finding the Fourth Proportional to 9,548.66, 14,324.62 and 2,973.90

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Solution

The fourth proportional to 9,548.66, 14,324.62 and 2,973.90 is: 4,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.66 : 14,324.62 = 2,973.90 : x
  2. Step 2: Convert to fraction form
    9,548.66/14,324.62 = 2,973.90/x
  3. Step 3: Cross multiply
    9,548.66x = 14,324.62 × 2,973.90
  4. Step 4: Simplify right side
    9,548.66x = 42,599,987.42
  5. Step 5: Solve for x
    x = 42,599,987.42/9,548.66
  6. Step 6: Final answer
    x = 4,461.36

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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.