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Finding the Fourth Proportional to 9,513.82, 13,130.31 and 5,323.42

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Solution

The fourth proportional to 9,513.82, 13,130.31 and 5,323.42 is: 7,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.82 : 13,130.31 = 5,323.42 : x
  2. Step 2: Convert to fraction form
    9,513.82/13,130.31 = 5,323.42/x
  3. Step 3: Cross multiply
    9,513.82x = 13,130.31 × 5,323.42
  4. Step 4: Simplify right side
    9,513.82x = 69,898,154.86
  5. Step 5: Solve for x
    x = 69,898,154.86/9,513.82
  6. Step 6: Final answer
    x = 7,347.01

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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.