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Finding the Fourth Proportional to 9,177.82, 12,665.02 and 4,985.98

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Solution

The fourth proportional to 9,177.82, 12,665.02 and 4,985.98 is: 6,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.82 : 12,665.02 = 4,985.98 : x
  2. Step 2: Convert to fraction form
    9,177.82/12,665.02 = 4,985.98/x
  3. Step 3: Cross multiply
    9,177.82x = 12,665.02 × 4,985.98
  4. Step 4: Simplify right side
    9,177.82x = 63,147,536.42
  5. Step 5: Solve for x
    x = 63,147,536.42/9,177.82
  6. Step 6: Final answer
    x = 6,880.45

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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.