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Finding the Fourth Proportional to 9,557.71, 13,195.77 and 6,156.25

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Solution

The fourth proportional to 9,557.71, 13,195.77 and 6,156.25 is: 8,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.71 : 13,195.77 = 6,156.25 : x
  2. Step 2: Convert to fraction form
    9,557.71/13,195.77 = 6,156.25/x
  3. Step 3: Cross multiply
    9,557.71x = 13,195.77 × 6,156.25
  4. Step 4: Simplify right side
    9,557.71x = 81,236,459.06
  5. Step 5: Solve for x
    x = 81,236,459.06/9,557.71
  6. Step 6: Final answer
    x = 8,499.57

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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.