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Finding the Fourth Proportional to 9,835.42, 14,748.27 and 8,902.30

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Solution

The fourth proportional to 9,835.42, 14,748.27 and 8,902.30 is: 13,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.42 : 14,748.27 = 8,902.30 : x
  2. Step 2: Convert to fraction form
    9,835.42/14,748.27 = 8,902.30/x
  3. Step 3: Cross multiply
    9,835.42x = 14,748.27 × 8,902.30
  4. Step 4: Simplify right side
    9,835.42x = 131,293,524.02
  5. Step 5: Solve for x
    x = 131,293,524.02/9,835.42
  6. Step 6: Final answer
    x = 13,349.05

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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.