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Finding the Fourth Proportional to 9,277.22, 13,909.22 and 4,344.16

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Solution

The fourth proportional to 9,277.22, 13,909.22 and 4,344.16 is: 6,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.22 : 13,909.22 = 4,344.16 : x
  2. Step 2: Convert to fraction form
    9,277.22/13,909.22 = 4,344.16/x
  3. Step 3: Cross multiply
    9,277.22x = 13,909.22 × 4,344.16
  4. Step 4: Simplify right side
    9,277.22x = 60,423,877.16
  5. Step 5: Solve for x
    x = 60,423,877.16/9,277.22
  6. Step 6: Final answer
    x = 6,513.14

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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.