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Finding the Fourth Proportional to 9,862.96, 14,807.40 and 6,942.64

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Solution

The fourth proportional to 9,862.96, 14,807.40 and 6,942.64 is: 10,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.96 : 14,807.40 = 6,942.64 : x
  2. Step 2: Convert to fraction form
    9,862.96/14,807.40 = 6,942.64/x
  3. Step 3: Cross multiply
    9,862.96x = 14,807.40 × 6,942.64
  4. Step 4: Simplify right side
    9,862.96x = 102,802,447.54
  5. Step 5: Solve for x
    x = 102,802,447.54/9,862.96
  6. Step 6: Final answer
    x = 10,423.08

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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.