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Finding the Fourth Proportional to 9,271.68, 13,909.80 and 2,697.93

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Solution

The fourth proportional to 9,271.68, 13,909.80 and 2,697.93 is: 4,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.68 : 13,909.80 = 2,697.93 : x
  2. Step 2: Convert to fraction form
    9,271.68/13,909.80 = 2,697.93/x
  3. Step 3: Cross multiply
    9,271.68x = 13,909.80 × 2,697.93
  4. Step 4: Simplify right side
    9,271.68x = 37,527,666.71
  5. Step 5: Solve for x
    x = 37,527,666.71/9,271.68
  6. Step 6: Final answer
    x = 4,047.56

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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.