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Finding the Fourth Proportional to 9,643.66, 13,308.50 and 5,394.58

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Solution

The fourth proportional to 9,643.66, 13,308.50 and 5,394.58 is: 7,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.66 : 13,308.50 = 5,394.58 : x
  2. Step 2: Convert to fraction form
    9,643.66/13,308.50 = 5,394.58/x
  3. Step 3: Cross multiply
    9,643.66x = 13,308.50 × 5,394.58
  4. Step 4: Simplify right side
    9,643.66x = 71,793,767.93
  5. Step 5: Solve for x
    x = 71,793,767.93/9,643.66
  6. Step 6: Final answer
    x = 7,444.66

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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.