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Finding the Fourth Proportional to 9,548.46, 14,326.47 and 3,706.74

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Solution

The fourth proportional to 9,548.46, 14,326.47 and 3,706.74 is: 5,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.46 : 14,326.47 = 3,706.74 : x
  2. Step 2: Convert to fraction form
    9,548.46/14,326.47 = 3,706.74/x
  3. Step 3: Cross multiply
    9,548.46x = 14,326.47 × 3,706.74
  4. Step 4: Simplify right side
    9,548.46x = 53,104,499.41
  5. Step 5: Solve for x
    x = 53,104,499.41/9,548.46
  6. Step 6: Final answer
    x = 5,561.58

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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.