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Finding the Fourth Proportional to 6,998.32, 9,646.43 and 4,728.95

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Solution

The fourth proportional to 6,998.32, 9,646.43 and 4,728.95 is: 6,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.32 : 9,646.43 = 4,728.95 : x
  2. Step 2: Convert to fraction form
    6,998.32/9,646.43 = 4,728.95/x
  3. Step 3: Cross multiply
    6,998.32x = 9,646.43 × 4,728.95
  4. Step 4: Simplify right side
    6,998.32x = 45,617,461.50
  5. Step 5: Solve for x
    x = 45,617,461.50/6,998.32
  6. Step 6: Final answer
    x = 6,518.34

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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.