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Finding the Fourth Proportional to 9,835.01, 14,736.08 and 4,280.03

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Solution

The fourth proportional to 9,835.01, 14,736.08 and 4,280.03 is: 6,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.01 : 14,736.08 = 4,280.03 : x
  2. Step 2: Convert to fraction form
    9,835.01/14,736.08 = 4,280.03/x
  3. Step 3: Cross multiply
    9,835.01x = 14,736.08 × 4,280.03
  4. Step 4: Simplify right side
    9,835.01x = 63,070,801.50
  5. Step 5: Solve for x
    x = 63,070,801.50/9,835.01
  6. Step 6: Final answer
    x = 6,412.89

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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.