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Finding the Fourth Proportional to 9,501.94, 14,254.89 and 2,927.98

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Solution

The fourth proportional to 9,501.94, 14,254.89 and 2,927.98 is: 4,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.94 : 14,254.89 = 2,927.98 : x
  2. Step 2: Convert to fraction form
    9,501.94/14,254.89 = 2,927.98/x
  3. Step 3: Cross multiply
    9,501.94x = 14,254.89 × 2,927.98
  4. Step 4: Simplify right side
    9,501.94x = 41,738,032.82
  5. Step 5: Solve for x
    x = 41,738,032.82/9,501.94
  6. Step 6: Final answer
    x = 4,392.58

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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.