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Finding the Fourth Proportional to 9,510.40, 14,243.84 and 4,583.60

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Solution

The fourth proportional to 9,510.40, 14,243.84 and 4,583.60 is: 6,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.40 : 14,243.84 = 4,583.60 : x
  2. Step 2: Convert to fraction form
    9,510.40/14,243.84 = 4,583.60/x
  3. Step 3: Cross multiply
    9,510.40x = 14,243.84 × 4,583.60
  4. Step 4: Simplify right side
    9,510.40x = 65,288,065.02
  5. Step 5: Solve for x
    x = 65,288,065.02/9,510.40
  6. Step 6: Final answer
    x = 6,864.91

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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.