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Finding the Fourth Proportional to 9,855.32, 13,602.48 and 5,877.20

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Solution

The fourth proportional to 9,855.32, 13,602.48 and 5,877.20 is: 8,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.32 : 13,602.48 = 5,877.20 : x
  2. Step 2: Convert to fraction form
    9,855.32/13,602.48 = 5,877.20/x
  3. Step 3: Cross multiply
    9,855.32x = 13,602.48 × 5,877.20
  4. Step 4: Simplify right side
    9,855.32x = 79,944,495.46
  5. Step 5: Solve for x
    x = 79,944,495.46/9,855.32
  6. Step 6: Final answer
    x = 8,111.81

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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.