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Finding the Fourth Proportional to 9,513.93, 13,116.64 and 7,806.18

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Solution

The fourth proportional to 9,513.93, 13,116.64 and 7,806.18 is: 10,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.93 : 13,116.64 = 7,806.18 : x
  2. Step 2: Convert to fraction form
    9,513.93/13,116.64 = 7,806.18/x
  3. Step 3: Cross multiply
    9,513.93x = 13,116.64 × 7,806.18
  4. Step 4: Simplify right side
    9,513.93x = 102,390,833.32
  5. Step 5: Solve for x
    x = 102,390,833.32/9,513.93
  6. Step 6: Final answer
    x = 10,762.20

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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.