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Finding the Fourth Proportional to 9,644.76, 14,461.52 and 4,709.40

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Solution

The fourth proportional to 9,644.76, 14,461.52 and 4,709.40 is: 7,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.76 : 14,461.52 = 4,709.40 : x
  2. Step 2: Convert to fraction form
    9,644.76/14,461.52 = 4,709.40/x
  3. Step 3: Cross multiply
    9,644.76x = 14,461.52 × 4,709.40
  4. Step 4: Simplify right side
    9,644.76x = 68,105,082.29
  5. Step 5: Solve for x
    x = 68,105,082.29/9,644.76
  6. Step 6: Final answer
    x = 7,061.36

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Why These Related Problems?

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