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Finding the Fourth Proportional to 9,852.94, 13,599.40 and 5,663.62

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Solution

The fourth proportional to 9,852.94, 13,599.40 and 5,663.62 is: 7,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.94 : 13,599.40 = 5,663.62 : x
  2. Step 2: Convert to fraction form
    9,852.94/13,599.40 = 5,663.62/x
  3. Step 3: Cross multiply
    9,852.94x = 13,599.40 × 5,663.62
  4. Step 4: Simplify right side
    9,852.94x = 77,021,833.83
  5. Step 5: Solve for x
    x = 77,021,833.83/9,852.94
  6. Step 6: Final answer
    x = 7,817.14

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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.