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Finding the Fourth Proportional to 9,693.40, 13,377.57 and 6,512.01

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Solution

The fourth proportional to 9,693.40, 13,377.57 and 6,512.01 is: 8,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.40 : 13,377.57 = 6,512.01 : x
  2. Step 2: Convert to fraction form
    9,693.40/13,377.57 = 6,512.01/x
  3. Step 3: Cross multiply
    9,693.40x = 13,377.57 × 6,512.01
  4. Step 4: Simplify right side
    9,693.40x = 87,114,770.17
  5. Step 5: Solve for x
    x = 87,114,770.17/9,693.40
  6. Step 6: Final answer
    x = 8,987.02

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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.