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Finding the Fourth Proportional to 9,605.63, 14,403.43 and 4,534.52

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Solution

The fourth proportional to 9,605.63, 14,403.43 and 4,534.52 is: 6,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.63 : 14,403.43 = 4,534.52 : x
  2. Step 2: Convert to fraction form
    9,605.63/14,403.43 = 4,534.52/x
  3. Step 3: Cross multiply
    9,605.63x = 14,403.43 × 4,534.52
  4. Step 4: Simplify right side
    9,605.63x = 65,312,683.08
  5. Step 5: Solve for x
    x = 65,312,683.08/9,605.63
  6. Step 6: Final answer
    x = 6,799.42

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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.