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Finding the Fourth Proportional to 9,565.34, 14,345.96 and 2,990.67

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Solution

The fourth proportional to 9,565.34, 14,345.96 and 2,990.67 is: 4,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.34 : 14,345.96 = 2,990.67 : x
  2. Step 2: Convert to fraction form
    9,565.34/14,345.96 = 2,990.67/x
  3. Step 3: Cross multiply
    9,565.34x = 14,345.96 × 2,990.67
  4. Step 4: Simplify right side
    9,565.34x = 42,904,060.96
  5. Step 5: Solve for x
    x = 42,904,060.96/9,565.34
  6. Step 6: Final answer
    x = 4,485.37

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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.