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Finding the Fourth Proportional to 9,548.64, 14,325.66 and 4,282.44

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Solution

The fourth proportional to 9,548.64, 14,325.66 and 4,282.44 is: 6,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.64 : 14,325.66 = 4,282.44 : x
  2. Step 2: Convert to fraction form
    9,548.64/14,325.66 = 4,282.44/x
  3. Step 3: Cross multiply
    9,548.64x = 14,325.66 × 4,282.44
  4. Step 4: Simplify right side
    9,548.64x = 61,348,779.41
  5. Step 5: Solve for x
    x = 61,348,779.41/9,548.64
  6. Step 6: Final answer
    x = 6,424.87

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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.