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Finding the Fourth Proportional to 10,534.46, 14,532.21 and 9,783.99

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Solution

The fourth proportional to 10,534.46, 14,532.21 and 9,783.99 is: 13,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.46 : 14,532.21 = 9,783.99 : x
  2. Step 2: Convert to fraction form
    10,534.46/14,532.21 = 9,783.99/x
  3. Step 3: Cross multiply
    10,534.46x = 14,532.21 × 9,783.99
  4. Step 4: Simplify right side
    10,534.46x = 142,182,997.32
  5. Step 5: Solve for x
    x = 142,182,997.32/10,534.46
  6. Step 6: Final answer
    x = 13,496.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.