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Finding the Fourth Proportional to 9,549.04, 14,295.74 and 7,094.74

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Solution

The fourth proportional to 9,549.04, 14,295.74 and 7,094.74 is: 10,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.04 : 14,295.74 = 7,094.74 : x
  2. Step 2: Convert to fraction form
    9,549.04/14,295.74 = 7,094.74/x
  3. Step 3: Cross multiply
    9,549.04x = 14,295.74 × 7,094.74
  4. Step 4: Simplify right side
    9,549.04x = 101,424,558.41
  5. Step 5: Solve for x
    x = 101,424,558.41/9,549.04
  6. Step 6: Final answer
    x = 10,621.44

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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.