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Finding the Fourth Proportional to 9,369.60, 14,051.70 and 7,722.06

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Solution

The fourth proportional to 9,369.60, 14,051.70 and 7,722.06 is: 11,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.60 : 14,051.70 = 7,722.06 : x
  2. Step 2: Convert to fraction form
    9,369.60/14,051.70 = 7,722.06/x
  3. Step 3: Cross multiply
    9,369.60x = 14,051.70 × 7,722.06
  4. Step 4: Simplify right side
    9,369.60x = 108,508,070.50
  5. Step 5: Solve for x
    x = 108,508,070.50/9,369.60
  6. Step 6: Final answer
    x = 11,580.86

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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.