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Finding the Fourth Proportional to 9,192.96, 12,681.14 and 5,655.48

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Solution

The fourth proportional to 9,192.96, 12,681.14 and 5,655.48 is: 7,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.96 : 12,681.14 = 5,655.48 : x
  2. Step 2: Convert to fraction form
    9,192.96/12,681.14 = 5,655.48/x
  3. Step 3: Cross multiply
    9,192.96x = 12,681.14 × 5,655.48
  4. Step 4: Simplify right side
    9,192.96x = 71,717,933.65
  5. Step 5: Solve for x
    x = 71,717,933.65/9,192.96
  6. Step 6: Final answer
    x = 7,801.40

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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.