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Finding the Fourth Proportional to 9,688.09, 13,382.55 and 7,807

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Solution

The fourth proportional to 9,688.09, 13,382.55 and 7,807 is: 10,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.09 : 13,382.55 = 7,807 : x
  2. Step 2: Convert to fraction form
    9,688.09/13,382.55 = 7,807/x
  3. Step 3: Cross multiply
    9,688.09x = 13,382.55 × 7,807
  4. Step 4: Simplify right side
    9,688.09x = 104,477,567.85
  5. Step 5: Solve for x
    x = 104,477,567.85/9,688.09
  6. Step 6: Final answer
    x = 10,784.12

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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.