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Finding the Fourth Proportional to 9,905.83, 13,670.21 and 5,429.30

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Solution

The fourth proportional to 9,905.83, 13,670.21 and 5,429.30 is: 7,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.83 : 13,670.21 = 5,429.30 : x
  2. Step 2: Convert to fraction form
    9,905.83/13,670.21 = 5,429.30/x
  3. Step 3: Cross multiply
    9,905.83x = 13,670.21 × 5,429.30
  4. Step 4: Simplify right side
    9,905.83x = 74,219,616.38
  5. Step 5: Solve for x
    x = 74,219,616.38/9,905.83
  6. Step 6: Final answer
    x = 7,492.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.