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Finding the Fourth Proportional to 9,523.68, 14,275.59 and 3,980.22

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Solution

The fourth proportional to 9,523.68, 14,275.59 and 3,980.22 is: 5,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.68 : 14,275.59 = 3,980.22 : x
  2. Step 2: Convert to fraction form
    9,523.68/14,275.59 = 3,980.22/x
  3. Step 3: Cross multiply
    9,523.68x = 14,275.59 × 3,980.22
  4. Step 4: Simplify right side
    9,523.68x = 56,819,988.83
  5. Step 5: Solve for x
    x = 56,819,988.83/9,523.68
  6. Step 6: Final answer
    x = 5,966.18

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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.