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Finding the Fourth Proportional to 9,807.63, 14,700.51 and 4,252.65

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Solution

The fourth proportional to 9,807.63, 14,700.51 and 4,252.65 is: 6,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.63 : 14,700.51 = 4,252.65 : x
  2. Step 2: Convert to fraction form
    9,807.63/14,700.51 = 4,252.65/x
  3. Step 3: Cross multiply
    9,807.63x = 14,700.51 × 4,252.65
  4. Step 4: Simplify right side
    9,807.63x = 62,516,123.85
  5. Step 5: Solve for x
    x = 62,516,123.85/9,807.63
  6. Step 6: Final answer
    x = 6,374.23

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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.