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Finding the Fourth Proportional to 9,670.19, 14,507.06 and 3,429.45

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Solution

The fourth proportional to 9,670.19, 14,507.06 and 3,429.45 is: 5,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.19 : 14,507.06 = 3,429.45 : x
  2. Step 2: Convert to fraction form
    9,670.19/14,507.06 = 3,429.45/x
  3. Step 3: Cross multiply
    9,670.19x = 14,507.06 × 3,429.45
  4. Step 4: Simplify right side
    9,670.19x = 49,751,219.77
  5. Step 5: Solve for x
    x = 49,751,219.77/9,670.19
  6. Step 6: Final answer
    x = 5,144.81

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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.