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Finding the Fourth Proportional to 9,842.05, 14,763.02 and 3,602.50

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Solution

The fourth proportional to 9,842.05, 14,763.02 and 3,602.50 is: 5,403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.05 : 14,763.02 = 3,602.50 : x
  2. Step 2: Convert to fraction form
    9,842.05/14,763.02 = 3,602.50/x
  3. Step 3: Cross multiply
    9,842.05x = 14,763.02 × 3,602.50
  4. Step 4: Simplify right side
    9,842.05x = 53,183,742.64
  5. Step 5: Solve for x
    x = 53,183,742.64/9,842.05
  6. Step 6: Final answer
    x = 5,403.72

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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.