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Finding the Fourth Proportional to 9,852.16, 13,595.42 and 5,602.63

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Solution

The fourth proportional to 9,852.16, 13,595.42 and 5,602.63 is: 7,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.16 : 13,595.42 = 5,602.63 : x
  2. Step 2: Convert to fraction form
    9,852.16/13,595.42 = 5,602.63/x
  3. Step 3: Cross multiply
    9,852.16x = 13,595.42 × 5,602.63
  4. Step 4: Simplify right side
    9,852.16x = 76,170,107.95
  5. Step 5: Solve for x
    x = 76,170,107.95/9,852.16
  6. Step 6: Final answer
    x = 7,731.31

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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.