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Finding the Fourth Proportional to 9,009.60, 13,513.59 and 3,165.86

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Solution

The fourth proportional to 9,009.60, 13,513.59 and 3,165.86 is: 4,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.60 : 13,513.59 = 3,165.86 : x
  2. Step 2: Convert to fraction form
    9,009.60/13,513.59 = 3,165.86/x
  3. Step 3: Cross multiply
    9,009.60x = 13,513.59 × 3,165.86
  4. Step 4: Simplify right side
    9,009.60x = 42,782,066.47
  5. Step 5: Solve for x
    x = 42,782,066.47/9,009.60
  6. Step 6: Final answer
    x = 4,748.50

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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.