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Finding the Fourth Proportional to 9,762.40, 14,633.08 and 4,218.36

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Solution

The fourth proportional to 9,762.40, 14,633.08 and 4,218.36 is: 6,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.40 : 14,633.08 = 4,218.36 : x
  2. Step 2: Convert to fraction form
    9,762.40/14,633.08 = 4,218.36/x
  3. Step 3: Cross multiply
    9,762.40x = 14,633.08 × 4,218.36
  4. Step 4: Simplify right side
    9,762.40x = 61,727,599.35
  5. Step 5: Solve for x
    x = 61,727,599.35/9,762.40
  6. Step 6: Final answer
    x = 6,322.99

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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.