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Finding the Fourth Proportional to 9,616.55, 14,434.02 and 4,689.63

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Solution

The fourth proportional to 9,616.55, 14,434.02 and 4,689.63 is: 7,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.55 : 14,434.02 = 4,689.63 : x
  2. Step 2: Convert to fraction form
    9,616.55/14,434.02 = 4,689.63/x
  3. Step 3: Cross multiply
    9,616.55x = 14,434.02 × 4,689.63
  4. Step 4: Simplify right side
    9,616.55x = 67,690,213.21
  5. Step 5: Solve for x
    x = 67,690,213.21/9,616.55
  6. Step 6: Final answer
    x = 7,038.93

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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.