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Finding the Fourth Proportional to 9,470.64, 14,207.76 and 4,276.50

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Solution

The fourth proportional to 9,470.64, 14,207.76 and 4,276.50 is: 6,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.64 : 14,207.76 = 4,276.50 : x
  2. Step 2: Convert to fraction form
    9,470.64/14,207.76 = 4,276.50/x
  3. Step 3: Cross multiply
    9,470.64x = 14,207.76 × 4,276.50
  4. Step 4: Simplify right side
    9,470.64x = 60,759,485.64
  5. Step 5: Solve for x
    x = 60,759,485.64/9,470.64
  6. Step 6: Final answer
    x = 6,415.56

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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.