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Finding the Fourth Proportional to 9,054.74, 12,499.63 and 5,702.47

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Solution

The fourth proportional to 9,054.74, 12,499.63 and 5,702.47 is: 7,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054.74 : 12,499.63 = 5,702.47 : x
  2. Step 2: Convert to fraction form
    9,054.74/12,499.63 = 5,702.47/x
  3. Step 3: Cross multiply
    9,054.74x = 12,499.63 × 5,702.47
  4. Step 4: Simplify right side
    9,054.74x = 71,278,782.08
  5. Step 5: Solve for x
    x = 71,278,782.08/9,054.74
  6. Step 6: Final answer
    x = 7,871.99

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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.