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Finding the Fourth Proportional to 9,614.34, 14,411.16 and 4,672.98

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Solution

The fourth proportional to 9,614.34, 14,411.16 and 4,672.98 is: 7,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.34 : 14,411.16 = 4,672.98 : x
  2. Step 2: Convert to fraction form
    9,614.34/14,411.16 = 4,672.98/x
  3. Step 3: Cross multiply
    9,614.34x = 14,411.16 × 4,672.98
  4. Step 4: Simplify right side
    9,614.34x = 67,343,062.46
  5. Step 5: Solve for x
    x = 67,343,062.46/9,614.34
  6. Step 6: Final answer
    x = 7,004.44

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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.