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Finding the Fourth Proportional to 9,658.98, 14,480.10 and 3,740.00

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Solution

The fourth proportional to 9,658.98, 14,480.10 and 3,740.00 is: 5,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.98 : 14,480.10 = 3,740.00 : x
  2. Step 2: Convert to fraction form
    9,658.98/14,480.10 = 3,740.00/x
  3. Step 3: Cross multiply
    9,658.98x = 14,480.10 × 3,740.00
  4. Step 4: Simplify right side
    9,658.98x = 54,155,501.60
  5. Step 5: Solve for x
    x = 54,155,501.60/9,658.98
  6. Step 6: Final answer
    x = 5,606.75

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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.