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Finding the Fourth Proportional to 9,607.63, 14,406.43 and 4,536.52

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Solution

The fourth proportional to 9,607.63, 14,406.43 and 4,536.52 is: 6,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.63 : 14,406.43 = 4,536.52 : x
  2. Step 2: Convert to fraction form
    9,607.63/14,406.43 = 4,536.52/x
  3. Step 3: Cross multiply
    9,607.63x = 14,406.43 × 4,536.52
  4. Step 4: Simplify right side
    9,607.63x = 65,355,057.82
  5. Step 5: Solve for x
    x = 65,355,057.82/9,607.63
  6. Step 6: Final answer
    x = 6,802.41

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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.