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Finding the Fourth Proportional to 6,966.47, 9,612.30 and 4,415.07

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Solution

The fourth proportional to 6,966.47, 9,612.30 and 4,415.07 is: 6,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.47 : 9,612.30 = 4,415.07 : x
  2. Step 2: Convert to fraction form
    6,966.47/9,612.30 = 4,415.07/x
  3. Step 3: Cross multiply
    6,966.47x = 9,612.30 × 4,415.07
  4. Step 4: Simplify right side
    6,966.47x = 42,439,029.96
  5. Step 5: Solve for x
    x = 42,439,029.96/6,966.47
  6. Step 6: Final answer
    x = 6,091.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.