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Finding the Fourth Proportional to 9,646.10, 13,312.89 and 5,398.79

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Solution

The fourth proportional to 9,646.10, 13,312.89 and 5,398.79 is: 7,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.10 : 13,312.89 = 5,398.79 : x
  2. Step 2: Convert to fraction form
    9,646.10/13,312.89 = 5,398.79/x
  3. Step 3: Cross multiply
    9,646.10x = 13,312.89 × 5,398.79
  4. Step 4: Simplify right side
    9,646.10x = 71,873,430.84
  5. Step 5: Solve for x
    x = 71,873,430.84/9,646.10
  6. Step 6: Final answer
    x = 7,451.04

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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.