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Finding the Fourth Proportional to 9,561.84, 14,332.50 and 4,624.68

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Solution

The fourth proportional to 9,561.84, 14,332.50 and 4,624.68 is: 6,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.84 : 14,332.50 = 4,624.68 : x
  2. Step 2: Convert to fraction form
    9,561.84/14,332.50 = 4,624.68/x
  3. Step 3: Cross multiply
    9,561.84x = 14,332.50 × 4,624.68
  4. Step 4: Simplify right side
    9,561.84x = 66,283,226.10
  5. Step 5: Solve for x
    x = 66,283,226.10/9,561.84
  6. Step 6: Final answer
    x = 6,932.06

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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.