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Finding the Fourth Proportional to 9,641.66, 14,475.88 and 4,965.01

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Solution

The fourth proportional to 9,641.66, 14,475.88 and 4,965.01 is: 7,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.66 : 14,475.88 = 4,965.01 : x
  2. Step 2: Convert to fraction form
    9,641.66/14,475.88 = 4,965.01/x
  3. Step 3: Cross multiply
    9,641.66x = 14,475.88 × 4,965.01
  4. Step 4: Simplify right side
    9,641.66x = 71,872,900.32
  5. Step 5: Solve for x
    x = 71,872,900.32/9,641.66
  6. Step 6: Final answer
    x = 7,454.41

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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.