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Finding the Fourth Proportional to 9,657.84, 13,326.75 and 5,886.48

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Solution

The fourth proportional to 9,657.84, 13,326.75 and 5,886.48 is: 8,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.84 : 13,326.75 = 5,886.48 : x
  2. Step 2: Convert to fraction form
    9,657.84/13,326.75 = 5,886.48/x
  3. Step 3: Cross multiply
    9,657.84x = 13,326.75 × 5,886.48
  4. Step 4: Simplify right side
    9,657.84x = 78,447,647.34
  5. Step 5: Solve for x
    x = 78,447,647.34/9,657.84
  6. Step 6: Final answer
    x = 8,122.69

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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.