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Finding the Fourth Proportional to 9,646.38, 13,313.63 and 5,615.55

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Solution

The fourth proportional to 9,646.38, 13,313.63 and 5,615.55 is: 7,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.38 : 13,313.63 = 5,615.55 : x
  2. Step 2: Convert to fraction form
    9,646.38/13,313.63 = 5,615.55/x
  3. Step 3: Cross multiply
    9,646.38x = 13,313.63 × 5,615.55
  4. Step 4: Simplify right side
    9,646.38x = 74,763,368.99
  5. Step 5: Solve for x
    x = 74,763,368.99/9,646.38
  6. Step 6: Final answer
    x = 7,750.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.