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Finding the Fourth Proportional to 9,513.76, 13,129.68 and 5,323.36

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Solution

The fourth proportional to 9,513.76, 13,129.68 and 5,323.36 is: 7,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.76 : 13,129.68 = 5,323.36 : x
  2. Step 2: Convert to fraction form
    9,513.76/13,129.68 = 5,323.36/x
  3. Step 3: Cross multiply
    9,513.76x = 13,129.68 × 5,323.36
  4. Step 4: Simplify right side
    9,513.76x = 69,894,013.32
  5. Step 5: Solve for x
    x = 69,894,013.32/9,513.76
  6. Step 6: Final answer
    x = 7,346.62

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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.