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Finding the Fourth Proportional to 9,161.58, 12,646.35 and 5,437.74

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Solution

The fourth proportional to 9,161.58, 12,646.35 and 5,437.74 is: 7,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.58 : 12,646.35 = 5,437.74 : x
  2. Step 2: Convert to fraction form
    9,161.58/12,646.35 = 5,437.74/x
  3. Step 3: Cross multiply
    9,161.58x = 12,646.35 × 5,437.74
  4. Step 4: Simplify right side
    9,161.58x = 68,767,563.25
  5. Step 5: Solve for x
    x = 68,767,563.25/9,161.58
  6. Step 6: Final answer
    x = 7,506.08

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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.