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Finding the Fourth Proportional to 9,576.58, 14,360.01 and 4,378

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Solution

The fourth proportional to 9,576.58, 14,360.01 and 4,378 is: 6,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.58 : 14,360.01 = 4,378 : x
  2. Step 2: Convert to fraction form
    9,576.58/14,360.01 = 4,378/x
  3. Step 3: Cross multiply
    9,576.58x = 14,360.01 × 4,378
  4. Step 4: Simplify right side
    9,576.58x = 62,868,123.78
  5. Step 5: Solve for x
    x = 62,868,123.78/9,576.58
  6. Step 6: Final answer
    x = 6,564.78

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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.