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Finding the Fourth Proportional to 9,665.10, 14,497.19 and 3,425.01

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Solution

The fourth proportional to 9,665.10, 14,497.19 and 3,425.01 is: 5,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.10 : 14,497.19 = 3,425.01 : x
  2. Step 2: Convert to fraction form
    9,665.10/14,497.19 = 3,425.01/x
  3. Step 3: Cross multiply
    9,665.10x = 14,497.19 × 3,425.01
  4. Step 4: Simplify right side
    9,665.10x = 49,652,931.11
  5. Step 5: Solve for x
    x = 49,652,931.11/9,665.10
  6. Step 6: Final answer
    x = 5,137.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.