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Finding the Fourth Proportional to 9,674.54, 14,492.36 and 5,047.82

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Solution

The fourth proportional to 9,674.54, 14,492.36 and 5,047.82 is: 7,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.54 : 14,492.36 = 5,047.82 : x
  2. Step 2: Convert to fraction form
    9,674.54/14,492.36 = 5,047.82/x
  3. Step 3: Cross multiply
    9,674.54x = 14,492.36 × 5,047.82
  4. Step 4: Simplify right side
    9,674.54x = 73,154,726.95
  5. Step 5: Solve for x
    x = 73,154,726.95/9,674.54
  6. Step 6: Final answer
    x = 7,561.58

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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.