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Finding the Fourth Proportional to 9,614.16, 14,425.16 and 4,931.82

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Solution

The fourth proportional to 9,614.16, 14,425.16 and 4,931.82 is: 7,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.16 : 14,425.16 = 4,931.82 : x
  2. Step 2: Convert to fraction form
    9,614.16/14,425.16 = 4,931.82/x
  3. Step 3: Cross multiply
    9,614.16x = 14,425.16 × 4,931.82
  4. Step 4: Simplify right side
    9,614.16x = 71,142,267.93
  5. Step 5: Solve for x
    x = 71,142,267.93/9,614.16
  6. Step 6: Final answer
    x = 7,399.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.