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Finding the Fourth Proportional to 9,584.70, 14,348.70 and 7,130.40

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Solution

The fourth proportional to 9,584.70, 14,348.70 and 7,130.40 is: 10,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.70 : 14,348.70 = 7,130.40 : x
  2. Step 2: Convert to fraction form
    9,584.70/14,348.70 = 7,130.40/x
  3. Step 3: Cross multiply
    9,584.70x = 14,348.70 × 7,130.40
  4. Step 4: Simplify right side
    9,584.70x = 102,311,970.48
  5. Step 5: Solve for x
    x = 102,311,970.48/9,584.70
  6. Step 6: Final answer
    x = 10,674.51

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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.