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Finding the Fourth Proportional to 9,852.02, 13,595.93 and 5,875.44

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Solution

The fourth proportional to 9,852.02, 13,595.93 and 5,875.44 is: 8,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.02 : 13,595.93 = 5,875.44 : x
  2. Step 2: Convert to fraction form
    9,852.02/13,595.93 = 5,875.44/x
  3. Step 3: Cross multiply
    9,852.02x = 13,595.93 × 5,875.44
  4. Step 4: Simplify right side
    9,852.02x = 79,882,041.58
  5. Step 5: Solve for x
    x = 79,882,041.58/9,852.02
  6. Step 6: Final answer
    x = 8,108.19

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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.