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Finding the Fourth Proportional to 9,653.00, 13,323.76 and 7,903.40

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Solution

The fourth proportional to 9,653.00, 13,323.76 and 7,903.40 is: 10,908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.00 : 13,323.76 = 7,903.40 : x
  2. Step 2: Convert to fraction form
    9,653.00/13,323.76 = 7,903.40/x
  3. Step 3: Cross multiply
    9,653.00x = 13,323.76 × 7,903.40
  4. Step 4: Simplify right side
    9,653.00x = 105,302,918.41
  5. Step 5: Solve for x
    x = 105,302,918.41/9,653.00
  6. Step 6: Final answer
    x = 10,908.83

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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.