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Finding the Fourth Proportional to 9,709.47, 14,532.87 and 5,023.02

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Solution

The fourth proportional to 9,709.47, 14,532.87 and 5,023.02 is: 7,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.47 : 14,532.87 = 5,023.02 : x
  2. Step 2: Convert to fraction form
    9,709.47/14,532.87 = 5,023.02/x
  3. Step 3: Cross multiply
    9,709.47x = 14,532.87 × 5,023.02
  4. Step 4: Simplify right side
    9,709.47x = 72,998,970.00
  5. Step 5: Solve for x
    x = 72,998,970.00/9,709.47
  6. Step 6: Final answer
    x = 7,518.33

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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.