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Finding the Fourth Proportional to 9,547.67, 14,322.12 and 3,704.13

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Solution

The fourth proportional to 9,547.67, 14,322.12 and 3,704.13 is: 5,556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.67 : 14,322.12 = 3,704.13 : x
  2. Step 2: Convert to fraction form
    9,547.67/14,322.12 = 3,704.13/x
  3. Step 3: Cross multiply
    9,547.67x = 14,322.12 × 3,704.13
  4. Step 4: Simplify right side
    9,547.67x = 53,050,980.47
  5. Step 5: Solve for x
    x = 53,050,980.47/9,547.67
  6. Step 6: Final answer
    x = 5,556.43

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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.