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Finding the Fourth Proportional to 9,465.12, 13,064.34 and 5,485.74

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Solution

The fourth proportional to 9,465.12, 13,064.34 and 5,485.74 is: 7,571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.12 : 13,064.34 = 5,485.74 : x
  2. Step 2: Convert to fraction form
    9,465.12/13,064.34 = 5,485.74/x
  3. Step 3: Cross multiply
    9,465.12x = 13,064.34 × 5,485.74
  4. Step 4: Simplify right side
    9,465.12x = 71,667,572.51
  5. Step 5: Solve for x
    x = 71,667,572.51/9,465.12
  6. Step 6: Final answer
    x = 7,571.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.