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Finding the Fourth Proportional to 6,465.02, 9,697.34 and 1,785.32

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Solution

The fourth proportional to 6,465.02, 9,697.34 and 1,785.32 is: 2,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.02 : 9,697.34 = 1,785.32 : x
  2. Step 2: Convert to fraction form
    6,465.02/9,697.34 = 1,785.32/x
  3. Step 3: Cross multiply
    6,465.02x = 9,697.34 × 1,785.32
  4. Step 4: Simplify right side
    6,465.02x = 17,312,811.03
  5. Step 5: Solve for x
    x = 17,312,811.03/6,465.02
  6. Step 6: Final answer
    x = 2,677.92

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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.