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Finding the Fourth Proportional to 9,319.96, 13,969.83 and 4,643.46

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Solution

The fourth proportional to 9,319.96, 13,969.83 and 4,643.46 is: 6,960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.96 : 13,969.83 = 4,643.46 : x
  2. Step 2: Convert to fraction form
    9,319.96/13,969.83 = 4,643.46/x
  3. Step 3: Cross multiply
    9,319.96x = 13,969.83 × 4,643.46
  4. Step 4: Simplify right side
    9,319.96x = 64,868,364.22
  5. Step 5: Solve for x
    x = 64,868,364.22/9,319.96
  6. Step 6: Final answer
    x = 6,960.15

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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.