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Finding the Fourth Proportional to 9,700.20, 14,538.93 and 4,495.14

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Solution

The fourth proportional to 9,700.20, 14,538.93 and 4,495.14 is: 6,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.20 : 14,538.93 = 4,495.14 : x
  2. Step 2: Convert to fraction form
    9,700.20/14,538.93 = 4,495.14/x
  3. Step 3: Cross multiply
    9,700.20x = 14,538.93 × 4,495.14
  4. Step 4: Simplify right side
    9,700.20x = 65,354,525.80
  5. Step 5: Solve for x
    x = 65,354,525.80/9,700.20
  6. Step 6: Final answer
    x = 6,737.44

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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.