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Finding the Fourth Proportional to 9,720.99, 14,587.92 and 5,341.50

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Solution

The fourth proportional to 9,720.99, 14,587.92 and 5,341.50 is: 8,015.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.99 : 14,587.92 = 5,341.50 : x
  2. Step 2: Convert to fraction form
    9,720.99/14,587.92 = 5,341.50/x
  3. Step 3: Cross multiply
    9,720.99x = 14,587.92 × 5,341.50
  4. Step 4: Simplify right side
    9,720.99x = 77,921,374.68
  5. Step 5: Solve for x
    x = 77,921,374.68/9,720.99
  6. Step 6: Final answer
    x = 8,015.79

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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.