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Finding the Fourth Proportional to 9,421.76, 13,006.50 and 5,890.16

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Solution

The fourth proportional to 9,421.76, 13,006.50 and 5,890.16 is: 8,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.76 : 13,006.50 = 5,890.16 : x
  2. Step 2: Convert to fraction form
    9,421.76/13,006.50 = 5,890.16/x
  3. Step 3: Cross multiply
    9,421.76x = 13,006.50 × 5,890.16
  4. Step 4: Simplify right side
    9,421.76x = 76,610,366.04
  5. Step 5: Solve for x
    x = 76,610,366.04/9,421.76
  6. Step 6: Final answer
    x = 8,131.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.