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Finding the Fourth Proportional to 9,624.19, 14,437.50 and 3,048.03

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Solution

The fourth proportional to 9,624.19, 14,437.50 and 3,048.03 is: 4,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.19 : 14,437.50 = 3,048.03 : x
  2. Step 2: Convert to fraction form
    9,624.19/14,437.50 = 3,048.03/x
  3. Step 3: Cross multiply
    9,624.19x = 14,437.50 × 3,048.03
  4. Step 4: Simplify right side
    9,624.19x = 44,005,933.13
  5. Step 5: Solve for x
    x = 44,005,933.13/9,624.19
  6. Step 6: Final answer
    x = 4,572.43

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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.