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Finding the Fourth Proportional to 9,193.18, 12,681.34 and 5,653.89

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Solution

The fourth proportional to 9,193.18, 12,681.34 and 5,653.89 is: 7,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.18 : 12,681.34 = 5,653.89 : x
  2. Step 2: Convert to fraction form
    9,193.18/12,681.34 = 5,653.89/x
  3. Step 3: Cross multiply
    9,193.18x = 12,681.34 × 5,653.89
  4. Step 4: Simplify right side
    9,193.18x = 71,698,901.41
  5. Step 5: Solve for x
    x = 71,698,901.41/9,193.18
  6. Step 6: Final answer
    x = 7,799.14

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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.