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Finding the Fourth Proportional to 9,271.40, 13,908.02 and 2,697.64

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Solution

The fourth proportional to 9,271.40, 13,908.02 and 2,697.64 is: 4,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.40 : 13,908.02 = 2,697.64 : x
  2. Step 2: Convert to fraction form
    9,271.40/13,908.02 = 2,697.64/x
  3. Step 3: Cross multiply
    9,271.40x = 13,908.02 × 2,697.64
  4. Step 4: Simplify right side
    9,271.40x = 37,518,831.07
  5. Step 5: Solve for x
    x = 37,518,831.07/9,271.40
  6. Step 6: Final answer
    x = 4,046.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.