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Finding the Fourth Proportional to 9,580.28, 14,365.61 and 6,077.32

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Solution

The fourth proportional to 9,580.28, 14,365.61 and 6,077.32 is: 9,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.28 : 14,365.61 = 6,077.32 : x
  2. Step 2: Convert to fraction form
    9,580.28/14,365.61 = 6,077.32/x
  3. Step 3: Cross multiply
    9,580.28x = 14,365.61 × 6,077.32
  4. Step 4: Simplify right side
    9,580.28x = 87,304,365.45
  5. Step 5: Solve for x
    x = 87,304,365.45/9,580.28
  6. Step 6: Final answer
    x = 9,112.93

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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.