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Finding the Fourth Proportional to 9,684.24, 14,430.14 and 9,214.08

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Solution

The fourth proportional to 9,684.24, 14,430.14 and 9,214.08 is: 13,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.24 : 14,430.14 = 9,214.08 : x
  2. Step 2: Convert to fraction form
    9,684.24/14,430.14 = 9,214.08/x
  3. Step 3: Cross multiply
    9,684.24x = 14,430.14 × 9,214.08
  4. Step 4: Simplify right side
    9,684.24x = 132,960,464.37
  5. Step 5: Solve for x
    x = 132,960,464.37/9,684.24
  6. Step 6: Final answer
    x = 13,729.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.