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Finding the Fourth Proportional to 9,666.90, 13,341.43 and 5,419.11

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Solution

The fourth proportional to 9,666.90, 13,341.43 and 5,419.11 is: 7,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.90 : 13,341.43 = 5,419.11 : x
  2. Step 2: Convert to fraction form
    9,666.90/13,341.43 = 5,419.11/x
  3. Step 3: Cross multiply
    9,666.90x = 13,341.43 × 5,419.11
  4. Step 4: Simplify right side
    9,666.90x = 72,298,683.50
  5. Step 5: Solve for x
    x = 72,298,683.50/9,666.90
  6. Step 6: Final answer
    x = 7,478.99

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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.