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Finding the Fourth Proportional to 9,164.16, 12,646.80 and 5,387.58

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Solution

The fourth proportional to 9,164.16, 12,646.80 and 5,387.58 is: 7,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.16 : 12,646.80 = 5,387.58 : x
  2. Step 2: Convert to fraction form
    9,164.16/12,646.80 = 5,387.58/x
  3. Step 3: Cross multiply
    9,164.16x = 12,646.80 × 5,387.58
  4. Step 4: Simplify right side
    9,164.16x = 68,135,646.74
  5. Step 5: Solve for x
    x = 68,135,646.74/9,164.16
  6. Step 6: Final answer
    x = 7,435.01

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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.