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Finding the Fourth Proportional to 9,984.24, 14,950.74 and 9,688.62

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Solution

The fourth proportional to 9,984.24, 14,950.74 and 9,688.62 is: 14,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.24 : 14,950.74 = 9,688.62 : x
  2. Step 2: Convert to fraction form
    9,984.24/14,950.74 = 9,688.62/x
  3. Step 3: Cross multiply
    9,984.24x = 14,950.74 × 9,688.62
  4. Step 4: Simplify right side
    9,984.24x = 144,852,130.98
  5. Step 5: Solve for x
    x = 144,852,130.98/9,984.24
  6. Step 6: Final answer
    x = 14,508.08

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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.