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Finding the Fourth Proportional to 9,191.64, 12,686.54 and 5,607.80

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Solution

The fourth proportional to 9,191.64, 12,686.54 and 5,607.80 is: 7,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.64 : 12,686.54 = 5,607.80 : x
  2. Step 2: Convert to fraction form
    9,191.64/12,686.54 = 5,607.80/x
  3. Step 3: Cross multiply
    9,191.64x = 12,686.54 × 5,607.80
  4. Step 4: Simplify right side
    9,191.64x = 71,143,579.01
  5. Step 5: Solve for x
    x = 71,143,579.01/9,191.64
  6. Step 6: Final answer
    x = 7,740.03

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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.