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Finding the Fourth Proportional to 9,740.67, 14,603.85 and 6,612.90

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Solution

The fourth proportional to 9,740.67, 14,603.85 and 6,612.90 is: 9,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.67 : 14,603.85 = 6,612.90 : x
  2. Step 2: Convert to fraction form
    9,740.67/14,603.85 = 6,612.90/x
  3. Step 3: Cross multiply
    9,740.67x = 14,603.85 × 6,612.90
  4. Step 4: Simplify right side
    9,740.67x = 96,573,799.67
  5. Step 5: Solve for x
    x = 96,573,799.67/9,740.67
  6. Step 6: Final answer
    x = 9,914.49

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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.