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Finding the Fourth Proportional to 9,417.68, 13,002.12 and 7,317.84

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Solution

The fourth proportional to 9,417.68, 13,002.12 and 7,317.84 is: 10,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.68 : 13,002.12 = 7,317.84 : x
  2. Step 2: Convert to fraction form
    9,417.68/13,002.12 = 7,317.84/x
  3. Step 3: Cross multiply
    9,417.68x = 13,002.12 × 7,317.84
  4. Step 4: Simplify right side
    9,417.68x = 95,147,433.82
  5. Step 5: Solve for x
    x = 95,147,433.82/9,417.68
  6. Step 6: Final answer
    x = 10,103.07

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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.