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Finding the Fourth Proportional to 9,635.70, 14,458.95 and 4,088.10

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Solution

The fourth proportional to 9,635.70, 14,458.95 and 4,088.10 is: 6,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.70 : 14,458.95 = 4,088.10 : x
  2. Step 2: Convert to fraction form
    9,635.70/14,458.95 = 4,088.10/x
  3. Step 3: Cross multiply
    9,635.70x = 14,458.95 × 4,088.10
  4. Step 4: Simplify right side
    9,635.70x = 59,109,633.50
  5. Step 5: Solve for x
    x = 59,109,633.50/9,635.70
  6. Step 6: Final answer
    x = 6,134.44

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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.