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Finding the Fourth Proportional to 9,488.32, 13,095.12 and 5,297.44

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Solution

The fourth proportional to 9,488.32, 13,095.12 and 5,297.44 is: 7,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.32 : 13,095.12 = 5,297.44 : x
  2. Step 2: Convert to fraction form
    9,488.32/13,095.12 = 5,297.44/x
  3. Step 3: Cross multiply
    9,488.32x = 13,095.12 × 5,297.44
  4. Step 4: Simplify right side
    9,488.32x = 69,370,612.49
  5. Step 5: Solve for x
    x = 69,370,612.49/9,488.32
  6. Step 6: Final answer
    x = 7,311.16

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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.