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Finding the Fourth Proportional to 9,365.24, 12,920.88 and 6,009.86

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Solution

The fourth proportional to 9,365.24, 12,920.88 and 6,009.86 is: 8,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.24 : 12,920.88 = 6,009.86 : x
  2. Step 2: Convert to fraction form
    9,365.24/12,920.88 = 6,009.86/x
  3. Step 3: Cross multiply
    9,365.24x = 12,920.88 × 6,009.86
  4. Step 4: Simplify right side
    9,365.24x = 77,652,679.88
  5. Step 5: Solve for x
    x = 77,652,679.88/9,365.24
  6. Step 6: Final answer
    x = 8,291.58

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1.5x scale

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.