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Finding the Fourth Proportional to 9,548.70, 14,327.10 and 4,615.80

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Solution

The fourth proportional to 9,548.70, 14,327.10 and 4,615.80 is: 6,925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.70 : 14,327.10 = 4,615.80 : x
  2. Step 2: Convert to fraction form
    9,548.70/14,327.10 = 4,615.80/x
  3. Step 3: Cross multiply
    9,548.70x = 14,327.10 × 4,615.80
  4. Step 4: Simplify right side
    9,548.70x = 66,131,028.18
  5. Step 5: Solve for x
    x = 66,131,028.18/9,548.70
  6. Step 6: Final answer
    x = 6,925.66

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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.