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Finding the Fourth Proportional to 9,031.95, 12,462.99 and 5,051.61

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Solution

The fourth proportional to 9,031.95, 12,462.99 and 5,051.61 is: 6,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.95 : 12,462.99 = 5,051.61 : x
  2. Step 2: Convert to fraction form
    9,031.95/12,462.99 = 5,051.61/x
  3. Step 3: Cross multiply
    9,031.95x = 12,462.99 × 5,051.61
  4. Step 4: Simplify right side
    9,031.95x = 62,958,164.91
  5. Step 5: Solve for x
    x = 62,958,164.91/9,031.95
  6. Step 6: Final answer
    x = 6,970.61

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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.