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Finding the Fourth Proportional to 9,715.26, 13,407.04 and 5,524.32

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Solution

The fourth proportional to 9,715.26, 13,407.04 and 5,524.32 is: 7,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.26 : 13,407.04 = 5,524.32 : x
  2. Step 2: Convert to fraction form
    9,715.26/13,407.04 = 5,524.32/x
  3. Step 3: Cross multiply
    9,715.26x = 13,407.04 × 5,524.32
  4. Step 4: Simplify right side
    9,715.26x = 74,064,779.21
  5. Step 5: Solve for x
    x = 74,064,779.21/9,715.26
  6. Step 6: Final answer
    x = 7,623.55

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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.