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Finding the Fourth Proportional to 9,670.02, 14,505.30 and 3,428.70

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Solution

The fourth proportional to 9,670.02, 14,505.30 and 3,428.70 is: 5,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.02 : 14,505.30 = 3,428.70 : x
  2. Step 2: Convert to fraction form
    9,670.02/14,505.30 = 3,428.70/x
  3. Step 3: Cross multiply
    9,670.02x = 14,505.30 × 3,428.70
  4. Step 4: Simplify right side
    9,670.02x = 49,734,322.11
  5. Step 5: Solve for x
    x = 49,734,322.11/9,670.02
  6. Step 6: Final answer
    x = 5,143.15

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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.