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Finding the Fourth Proportional to 9,892.64, 14,822.48 and 6,965.84

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Solution

The fourth proportional to 9,892.64, 14,822.48 and 6,965.84 is: 10,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.64 : 14,822.48 = 6,965.84 : x
  2. Step 2: Convert to fraction form
    9,892.64/14,822.48 = 6,965.84/x
  3. Step 3: Cross multiply
    9,892.64x = 14,822.48 × 6,965.84
  4. Step 4: Simplify right side
    9,892.64x = 103,251,024.08
  5. Step 5: Solve for x
    x = 103,251,024.08/9,892.64
  6. Step 6: Final answer
    x = 10,437.16

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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.