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Finding the Fourth Proportional to 9,715.16, 13,407.54 and 5,466.62

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Solution

The fourth proportional to 9,715.16, 13,407.54 and 5,466.62 is: 7,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.16 : 13,407.54 = 5,466.62 : x
  2. Step 2: Convert to fraction form
    9,715.16/13,407.54 = 5,466.62/x
  3. Step 3: Cross multiply
    9,715.16x = 13,407.54 × 5,466.62
  4. Step 4: Simplify right side
    9,715.16x = 73,293,926.31
  5. Step 5: Solve for x
    x = 73,293,926.31/9,715.16
  6. Step 6: Final answer
    x = 7,544.28

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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.