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Finding the Fourth Proportional to 9,852.45, 13,598.14 and 5,873.82

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Solution

The fourth proportional to 9,852.45, 13,598.14 and 5,873.82 is: 8,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.45 : 13,598.14 = 5,873.82 : x
  2. Step 2: Convert to fraction form
    9,852.45/13,598.14 = 5,873.82/x
  3. Step 3: Cross multiply
    9,852.45x = 13,598.14 × 5,873.82
  4. Step 4: Simplify right side
    9,852.45x = 79,873,026.69
  5. Step 5: Solve for x
    x = 79,873,026.69/9,852.45
  6. Step 6: Final answer
    x = 8,106.92

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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.