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Finding the Fourth Proportional to 6,465.07, 9,698.08 and 2,085.67

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Solution

The fourth proportional to 6,465.07, 9,698.08 and 2,085.67 is: 3,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.07 : 9,698.08 = 2,085.67 : x
  2. Step 2: Convert to fraction form
    6,465.07/9,698.08 = 2,085.67/x
  3. Step 3: Cross multiply
    6,465.07x = 9,698.08 × 2,085.67
  4. Step 4: Simplify right side
    6,465.07x = 20,226,994.51
  5. Step 5: Solve for x
    x = 20,226,994.51/6,465.07
  6. Step 6: Final answer
    x = 3,128.66

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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.