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Finding the Fourth Proportional to 9,624.96, 14,437.44 and 6,184.08

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Solution

The fourth proportional to 9,624.96, 14,437.44 and 6,184.08 is: 9,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.96 : 14,437.44 = 6,184.08 : x
  2. Step 2: Convert to fraction form
    9,624.96/14,437.44 = 6,184.08/x
  3. Step 3: Cross multiply
    9,624.96x = 14,437.44 × 6,184.08
  4. Step 4: Simplify right side
    9,624.96x = 89,282,283.96
  5. Step 5: Solve for x
    x = 89,282,283.96/9,624.96
  6. Step 6: Final answer
    x = 9,276.12

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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.