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Finding the Fourth Proportional to 7,129.86, 10,646.09 and 6,384.66

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Solution

The fourth proportional to 7,129.86, 10,646.09 and 6,384.66 is: 9,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.86 : 10,646.09 = 6,384.66 : x
  2. Step 2: Convert to fraction form
    7,129.86/10,646.09 = 6,384.66/x
  3. Step 3: Cross multiply
    7,129.86x = 10,646.09 × 6,384.66
  4. Step 4: Simplify right side
    7,129.86x = 67,971,633.06
  5. Step 5: Solve for x
    x = 67,971,633.06/7,129.86
  6. Step 6: Final answer
    x = 9,533.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.