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Finding the Fourth Proportional to 9,271.60, 13,909.66 and 2,697.84

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Solution

The fourth proportional to 9,271.60, 13,909.66 and 2,697.84 is: 4,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.60 : 13,909.66 = 2,697.84 : x
  2. Step 2: Convert to fraction form
    9,271.60/13,909.66 = 2,697.84/x
  3. Step 3: Cross multiply
    9,271.60x = 13,909.66 × 2,697.84
  4. Step 4: Simplify right side
    9,271.60x = 37,526,030.39
  5. Step 5: Solve for x
    x = 37,526,030.39/9,271.60
  6. Step 6: Final answer
    x = 4,047.42

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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.