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Finding the Fourth Proportional to 9,071.49, 12,518.19 and 5,038.14

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Solution

The fourth proportional to 9,071.49, 12,518.19 and 5,038.14 is: 6,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.49 : 12,518.19 = 5,038.14 : x
  2. Step 2: Convert to fraction form
    9,071.49/12,518.19 = 5,038.14/x
  3. Step 3: Cross multiply
    9,071.49x = 12,518.19 × 5,038.14
  4. Step 4: Simplify right side
    9,071.49x = 63,068,393.77
  5. Step 5: Solve for x
    x = 63,068,393.77/9,071.49
  6. Step 6: Final answer
    x = 6,952.37

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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.