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Finding the Fourth Proportional to 9,056.16, 12,494.72 and 5,702.32

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Solution

The fourth proportional to 9,056.16, 12,494.72 and 5,702.32 is: 7,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.16 : 12,494.72 = 5,702.32 : x
  2. Step 2: Convert to fraction form
    9,056.16/12,494.72 = 5,702.32/x
  3. Step 3: Cross multiply
    9,056.16x = 12,494.72 × 5,702.32
  4. Step 4: Simplify right side
    9,056.16x = 71,248,891.75
  5. Step 5: Solve for x
    x = 71,248,891.75/9,056.16
  6. Step 6: Final answer
    x = 7,867.45

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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.