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Finding the Fourth Proportional to 9,718.34, 14,576.28 and 2,698.88

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Solution

The fourth proportional to 9,718.34, 14,576.28 and 2,698.88 is: 4,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.34 : 14,576.28 = 2,698.88 : x
  2. Step 2: Convert to fraction form
    9,718.34/14,576.28 = 2,698.88/x
  3. Step 3: Cross multiply
    9,718.34x = 14,576.28 × 2,698.88
  4. Step 4: Simplify right side
    9,718.34x = 39,339,630.57
  5. Step 5: Solve for x
    x = 39,339,630.57/9,718.34
  6. Step 6: Final answer
    x = 4,047.98

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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.