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Finding the Fourth Proportional to 9,830.60, 14,745.54 and 6,090.92

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Solution

The fourth proportional to 9,830.60, 14,745.54 and 6,090.92 is: 9,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.60 : 14,745.54 = 6,090.92 : x
  2. Step 2: Convert to fraction form
    9,830.60/14,745.54 = 6,090.92/x
  3. Step 3: Cross multiply
    9,830.60x = 14,745.54 × 6,090.92
  4. Step 4: Simplify right side
    9,830.60x = 89,813,904.50
  5. Step 5: Solve for x
    x = 89,813,904.50/9,830.60
  6. Step 6: Final answer
    x = 9,136.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.