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Finding the Fourth Proportional to 9,707.09, 14,557.04 and 3,465.42

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Solution

The fourth proportional to 9,707.09, 14,557.04 and 3,465.42 is: 5,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.09 : 14,557.04 = 3,465.42 : x
  2. Step 2: Convert to fraction form
    9,707.09/14,557.04 = 3,465.42/x
  3. Step 3: Cross multiply
    9,707.09x = 14,557.04 × 3,465.42
  4. Step 4: Simplify right side
    9,707.09x = 50,446,240.23
  5. Step 5: Solve for x
    x = 50,446,240.23/9,707.09
  6. Step 6: Final answer
    x = 5,196.85

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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.