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Finding the Fourth Proportional to 9,820.20, 13,567.19 and 9,032.88

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Solution

The fourth proportional to 9,820.20, 13,567.19 and 9,032.88 is: 12,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.20 : 13,567.19 = 9,032.88 : x
  2. Step 2: Convert to fraction form
    9,820.20/13,567.19 = 9,032.88/x
  3. Step 3: Cross multiply
    9,820.20x = 13,567.19 × 9,032.88
  4. Step 4: Simplify right side
    9,820.20x = 122,550,754.04
  5. Step 5: Solve for x
    x = 122,550,754.04/9,820.20
  6. Step 6: Final answer
    x = 12,479.46

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