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Finding the Fourth Proportional to 9,892.60, 13,651.32 and 5,416

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Solution

The fourth proportional to 9,892.60, 13,651.32 and 5,416 is: 7,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.60 : 13,651.32 = 5,416 : x
  2. Step 2: Convert to fraction form
    9,892.60/13,651.32 = 5,416/x
  3. Step 3: Cross multiply
    9,892.60x = 13,651.32 × 5,416
  4. Step 4: Simplify right side
    9,892.60x = 73,935,549.12
  5. Step 5: Solve for x
    x = 73,935,549.12/9,892.60
  6. Step 6: Final answer
    x = 7,473.82

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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.