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Finding the Fourth Proportional to 7,046, 9,723.48 and 4,061.68

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Solution

The fourth proportional to 7,046, 9,723.48 and 4,061.68 is: 5,605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046 : 9,723.48 = 4,061.68 : x
  2. Step 2: Convert to fraction form
    7,046/9,723.48 = 4,061.68/x
  3. Step 3: Cross multiply
    7,046x = 9,723.48 × 4,061.68
  4. Step 4: Simplify right side
    7,046x = 39,493,664.25
  5. Step 5: Solve for x
    x = 39,493,664.25/7,046
  6. Step 6: Final answer
    x = 5,605.12

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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.