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Finding the Fourth Proportional to 9,153.58, 12,642.32 and 6,164.22

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Solution

The fourth proportional to 9,153.58, 12,642.32 and 6,164.22 is: 8,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.58 : 12,642.32 = 6,164.22 : x
  2. Step 2: Convert to fraction form
    9,153.58/12,642.32 = 6,164.22/x
  3. Step 3: Cross multiply
    9,153.58x = 12,642.32 × 6,164.22
  4. Step 4: Simplify right side
    9,153.58x = 77,930,041.79
  5. Step 5: Solve for x
    x = 77,930,041.79/9,153.58
  6. Step 6: Final answer
    x = 8,513.61

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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.