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Finding the Fourth Proportional to 9,762.12, 14,643.10 and 2,366.62

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Solution

The fourth proportional to 9,762.12, 14,643.10 and 2,366.62 is: 3,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.12 : 14,643.10 = 2,366.62 : x
  2. Step 2: Convert to fraction form
    9,762.12/14,643.10 = 2,366.62/x
  3. Step 3: Cross multiply
    9,762.12x = 14,643.10 × 2,366.62
  4. Step 4: Simplify right side
    9,762.12x = 34,654,653.32
  5. Step 5: Solve for x
    x = 34,654,653.32/9,762.12
  6. Step 6: Final answer
    x = 3,549.91

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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.