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Finding the Fourth Proportional to 9,624.43, 14,437.58 and 4,000.93

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Solution

The fourth proportional to 9,624.43, 14,437.58 and 4,000.93 is: 6,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.43 : 14,437.58 = 4,000.93 : x
  2. Step 2: Convert to fraction form
    9,624.43/14,437.58 = 4,000.93/x
  3. Step 3: Cross multiply
    9,624.43x = 14,437.58 × 4,000.93
  4. Step 4: Simplify right side
    9,624.43x = 57,763,746.95
  5. Step 5: Solve for x
    x = 57,763,746.95/9,624.43
  6. Step 6: Final answer
    x = 6,001.78

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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.