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Finding the Fourth Proportional to 9,271.67, 13,908.11 and 4,077.54

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Solution

The fourth proportional to 9,271.67, 13,908.11 and 4,077.54 is: 6,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.67 : 13,908.11 = 4,077.54 : x
  2. Step 2: Convert to fraction form
    9,271.67/13,908.11 = 4,077.54/x
  3. Step 3: Cross multiply
    9,271.67x = 13,908.11 × 4,077.54
  4. Step 4: Simplify right side
    9,271.67x = 56,710,854.46
  5. Step 5: Solve for x
    x = 56,710,854.46/9,271.67
  6. Step 6: Final answer
    x = 6,116.58

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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.