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Finding the Fourth Proportional to 9,267.22, 12,783.95 and 5,683.01

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Solution

The fourth proportional to 9,267.22, 12,783.95 and 5,683.01 is: 7,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.22 : 12,783.95 = 5,683.01 : x
  2. Step 2: Convert to fraction form
    9,267.22/12,783.95 = 5,683.01/x
  3. Step 3: Cross multiply
    9,267.22x = 12,783.95 × 5,683.01
  4. Step 4: Simplify right side
    9,267.22x = 72,651,319.23
  5. Step 5: Solve for x
    x = 72,651,319.23/9,267.22
  6. Step 6: Final answer
    x = 7,839.60

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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.