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Finding the Fourth Proportional to 9,784.70, 14,648.70 and 7,330.40

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Solution

The fourth proportional to 9,784.70, 14,648.70 and 7,330.40 is: 10,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.70 : 14,648.70 = 7,330.40 : x
  2. Step 2: Convert to fraction form
    9,784.70/14,648.70 = 7,330.40/x
  3. Step 3: Cross multiply
    9,784.70x = 14,648.70 × 7,330.40
  4. Step 4: Simplify right side
    9,784.70x = 107,380,830.48
  5. Step 5: Solve for x
    x = 107,380,830.48/9,784.70
  6. Step 6: Final answer
    x = 10,974.36

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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.