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Finding the Fourth Proportional to 9,472.16, 13,071.38 and 5,493.18

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Solution

The fourth proportional to 9,472.16, 13,071.38 and 5,493.18 is: 7,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.16 : 13,071.38 = 5,493.18 : x
  2. Step 2: Convert to fraction form
    9,472.16/13,071.38 = 5,493.18/x
  3. Step 3: Cross multiply
    9,472.16x = 13,071.38 × 5,493.18
  4. Step 4: Simplify right side
    9,472.16x = 71,803,443.19
  5. Step 5: Solve for x
    x = 71,803,443.19/9,472.16
  6. Step 6: Final answer
    x = 7,580.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.