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Finding the Fourth Proportional to 9,701.02, 13,387.53 and 9,365.75

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Solution

The fourth proportional to 9,701.02, 13,387.53 and 9,365.75 is: 12,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.02 : 13,387.53 = 9,365.75 : x
  2. Step 2: Convert to fraction form
    9,701.02/13,387.53 = 9,365.75/x
  3. Step 3: Cross multiply
    9,701.02x = 13,387.53 × 9,365.75
  4. Step 4: Simplify right side
    9,701.02x = 125,384,259.10
  5. Step 5: Solve for x
    x = 125,384,259.10/9,701.02
  6. Step 6: Final answer
    x = 12,924.85

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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.