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Finding the Fourth Proportional to 9,710.22, 14,534.00 and 5,023.78

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Solution

The fourth proportional to 9,710.22, 14,534.00 and 5,023.78 is: 7,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.22 : 14,534.00 = 5,023.78 : x
  2. Step 2: Convert to fraction form
    9,710.22/14,534.00 = 5,023.78/x
  3. Step 3: Cross multiply
    9,710.22x = 14,534.00 × 5,023.78
  4. Step 4: Simplify right side
    9,710.22x = 73,015,557.07
  5. Step 5: Solve for x
    x = 73,015,557.07/9,710.22
  6. Step 6: Final answer
    x = 7,519.45

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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.