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Finding the Fourth Proportional to 9,650.92, 14,465.40 and 7,303.28

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Solution

The fourth proportional to 9,650.92, 14,465.40 and 7,303.28 is: 10,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.92 : 14,465.40 = 7,303.28 : x
  2. Step 2: Convert to fraction form
    9,650.92/14,465.40 = 7,303.28/x
  3. Step 3: Cross multiply
    9,650.92x = 14,465.40 × 7,303.28
  4. Step 4: Simplify right side
    9,650.92x = 105,644,866.51
  5. Step 5: Solve for x
    x = 105,644,866.51/9,650.92
  6. Step 6: Final answer
    x = 10,946.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.