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Finding the Fourth Proportional to 9,709.97, 14,533.63 and 5,023.53

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Solution

The fourth proportional to 9,709.97, 14,533.63 and 5,023.53 is: 7,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.97 : 14,533.63 = 5,023.53 : x
  2. Step 2: Convert to fraction form
    9,709.97/14,533.63 = 5,023.53/x
  3. Step 3: Cross multiply
    9,709.97x = 14,533.63 × 5,023.53
  4. Step 4: Simplify right side
    9,709.97x = 73,010,041.09
  5. Step 5: Solve for x
    x = 73,010,041.09/9,709.97
  6. Step 6: Final answer
    x = 7,519.08

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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.