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Finding the Fourth Proportional to 9,178.65, 12,666.39 and 5,145.47

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Solution

The fourth proportional to 9,178.65, 12,666.39 and 5,145.47 is: 7,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.65 : 12,666.39 = 5,145.47 : x
  2. Step 2: Convert to fraction form
    9,178.65/12,666.39 = 5,145.47/x
  3. Step 3: Cross multiply
    9,178.65x = 12,666.39 × 5,145.47
  4. Step 4: Simplify right side
    9,178.65x = 65,174,466.42
  5. Step 5: Solve for x
    x = 65,174,466.42/9,178.65
  6. Step 6: Final answer
    x = 7,100.66

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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.