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Finding the Fourth Proportional to 9,643.15, 13,307.73 and 5,866.48

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Solution

The fourth proportional to 9,643.15, 13,307.73 and 5,866.48 is: 8,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.15 : 13,307.73 = 5,866.48 : x
  2. Step 2: Convert to fraction form
    9,643.15/13,307.73 = 5,866.48/x
  3. Step 3: Cross multiply
    9,643.15x = 13,307.73 × 5,866.48
  4. Step 4: Simplify right side
    9,643.15x = 78,069,531.89
  5. Step 5: Solve for x
    x = 78,069,531.89/9,643.15
  6. Step 6: Final answer
    x = 8,095.85

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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.