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Finding the Fourth Proportional to 9,006.22, 13,507.50 and 2,430.86

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Solution

The fourth proportional to 9,006.22, 13,507.50 and 2,430.86 is: 3,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.22 : 13,507.50 = 2,430.86 : x
  2. Step 2: Convert to fraction form
    9,006.22/13,507.50 = 2,430.86/x
  3. Step 3: Cross multiply
    9,006.22x = 13,507.50 × 2,430.86
  4. Step 4: Simplify right side
    9,006.22x = 32,834,875.22
  5. Step 5: Solve for x
    x = 32,834,875.22/9,006.22
  6. Step 6: Final answer
    x = 3,645.80

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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.