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Finding the Fourth Proportional to 9,670.38, 14,505.88 and 3,430.30

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Solution

The fourth proportional to 9,670.38, 14,505.88 and 3,430.30 is: 5,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.38 : 14,505.88 = 3,430.30 : x
  2. Step 2: Convert to fraction form
    9,670.38/14,505.88 = 3,430.30/x
  3. Step 3: Cross multiply
    9,670.38x = 14,505.88 × 3,430.30
  4. Step 4: Simplify right side
    9,670.38x = 49,759,430.48
  5. Step 5: Solve for x
    x = 49,759,430.48/9,670.38
  6. Step 6: Final answer
    x = 5,145.55

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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.