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Finding the Fourth Proportional to 6,465.30, 9,696.70 and 1,784.14

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Solution

The fourth proportional to 6,465.30, 9,696.70 and 1,784.14 is: 2,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.30 : 9,696.70 = 1,784.14 : x
  2. Step 2: Convert to fraction form
    6,465.30/9,696.70 = 1,784.14/x
  3. Step 3: Cross multiply
    6,465.30x = 9,696.70 × 1,784.14
  4. Step 4: Simplify right side
    6,465.30x = 17,300,270.34
  5. Step 5: Solve for x
    x = 17,300,270.34/6,465.30
  6. Step 6: Final answer
    x = 2,675.87

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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.