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Finding the Fourth Proportional to 9,051.56, 12,490.06 and 5,071.76

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Solution

The fourth proportional to 9,051.56, 12,490.06 and 5,071.76 is: 6,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.56 : 12,490.06 = 5,071.76 : x
  2. Step 2: Convert to fraction form
    9,051.56/12,490.06 = 5,071.76/x
  3. Step 3: Cross multiply
    9,051.56x = 12,490.06 × 5,071.76
  4. Step 4: Simplify right side
    9,051.56x = 63,346,586.71
  5. Step 5: Solve for x
    x = 63,346,586.71/9,051.56
  6. Step 6: Final answer
    x = 6,998.42

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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.