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Finding the Fourth Proportional to 9,301.46, 13,950.64 and 3,061.54

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Solution

The fourth proportional to 9,301.46, 13,950.64 and 3,061.54 is: 4,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.46 : 13,950.64 = 3,061.54 : x
  2. Step 2: Convert to fraction form
    9,301.46/13,950.64 = 3,061.54/x
  3. Step 3: Cross multiply
    9,301.46x = 13,950.64 × 3,061.54
  4. Step 4: Simplify right side
    9,301.46x = 42,710,442.39
  5. Step 5: Solve for x
    x = 42,710,442.39/9,301.46
  6. Step 6: Final answer
    x = 4,591.80

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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.