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Finding the Fourth Proportional to 9,548.58, 14,328.54 and 5,165.94

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Solution

The fourth proportional to 9,548.58, 14,328.54 and 5,165.94 is: 7,751.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.58 : 14,328.54 = 5,165.94 : x
  2. Step 2: Convert to fraction form
    9,548.58/14,328.54 = 5,165.94/x
  3. Step 3: Cross multiply
    9,548.58x = 14,328.54 × 5,165.94
  4. Step 4: Simplify right side
    9,548.58x = 74,020,377.93
  5. Step 5: Solve for x
    x = 74,020,377.93/9,548.58
  6. Step 6: Final answer
    x = 7,751.98

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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.