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Finding the Fourth Proportional to 9,571.53, 13,215.24 and 7,807.35

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Solution

The fourth proportional to 9,571.53, 13,215.24 and 7,807.35 is: 10,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.53 : 13,215.24 = 7,807.35 : x
  2. Step 2: Convert to fraction form
    9,571.53/13,215.24 = 7,807.35/x
  3. Step 3: Cross multiply
    9,571.53x = 13,215.24 × 7,807.35
  4. Step 4: Simplify right side
    9,571.53x = 103,176,004.01
  5. Step 5: Solve for x
    x = 103,176,004.01/9,571.53
  6. Step 6: Final answer
    x = 10,779.47

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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.