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Finding the Fourth Proportional to 9,510.74, 14,258.58 and 4,826.44

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Solution

The fourth proportional to 9,510.74, 14,258.58 and 4,826.44 is: 7,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.74 : 14,258.58 = 4,826.44 : x
  2. Step 2: Convert to fraction form
    9,510.74/14,258.58 = 4,826.44/x
  3. Step 3: Cross multiply
    9,510.74x = 14,258.58 × 4,826.44
  4. Step 4: Simplify right side
    9,510.74x = 68,818,180.86
  5. Step 5: Solve for x
    x = 68,818,180.86/9,510.74
  6. Step 6: Final answer
    x = 7,235.84

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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.