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Finding the Fourth Proportional to 9,504.30, 14,272.65 and 5,130.30

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Solution

The fourth proportional to 9,504.30, 14,272.65 and 5,130.30 is: 7,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.30 : 14,272.65 = 5,130.30 : x
  2. Step 2: Convert to fraction form
    9,504.30/14,272.65 = 5,130.30/x
  3. Step 3: Cross multiply
    9,504.30x = 14,272.65 × 5,130.30
  4. Step 4: Simplify right side
    9,504.30x = 73,222,976.30
  5. Step 5: Solve for x
    x = 73,222,976.30/9,504.30
  6. Step 6: Final answer
    x = 7,704.19

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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.