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Finding the Fourth Proportional to 9,643.18, 13,308.10 and 5,865.74

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Solution

The fourth proportional to 9,643.18, 13,308.10 and 5,865.74 is: 8,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.18 : 13,308.10 = 5,865.74 : x
  2. Step 2: Convert to fraction form
    9,643.18/13,308.10 = 5,865.74/x
  3. Step 3: Cross multiply
    9,643.18x = 13,308.10 × 5,865.74
  4. Step 4: Simplify right side
    9,643.18x = 78,061,854.49
  5. Step 5: Solve for x
    x = 78,061,854.49/9,643.18
  6. Step 6: Final answer
    x = 8,095.03

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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.