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Finding the Fourth Proportional to 10,056.06, 14,977.71 and 9,529.14

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Solution

The fourth proportional to 10,056.06, 14,977.71 and 9,529.14 is: 14,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.06 : 14,977.71 = 9,529.14 : x
  2. Step 2: Convert to fraction form
    10,056.06/14,977.71 = 9,529.14/x
  3. Step 3: Cross multiply
    10,056.06x = 14,977.71 × 9,529.14
  4. Step 4: Simplify right side
    10,056.06x = 142,724,695.47
  5. Step 5: Solve for x
    x = 142,724,695.47/10,056.06
  6. Step 6: Final answer
    x = 14,192.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.