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Finding the Fourth Proportional to 9,048.54, 13,576.14 and 3,126

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Solution

The fourth proportional to 9,048.54, 13,576.14 and 3,126 is: 4,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.54 : 13,576.14 = 3,126 : x
  2. Step 2: Convert to fraction form
    9,048.54/13,576.14 = 3,126/x
  3. Step 3: Cross multiply
    9,048.54x = 13,576.14 × 3,126
  4. Step 4: Simplify right side
    9,048.54x = 42,439,013.64
  5. Step 5: Solve for x
    x = 42,439,013.64/9,048.54
  6. Step 6: Final answer
    x = 4,690.15

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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.