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Finding the Fourth Proportional to 9,297.36, 12,830.27 and 5,048.46

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Solution

The fourth proportional to 9,297.36, 12,830.27 and 5,048.46 is: 6,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.36 : 12,830.27 = 5,048.46 : x
  2. Step 2: Convert to fraction form
    9,297.36/12,830.27 = 5,048.46/x
  3. Step 3: Cross multiply
    9,297.36x = 12,830.27 × 5,048.46
  4. Step 4: Simplify right side
    9,297.36x = 64,773,079.64
  5. Step 5: Solve for x
    x = 64,773,079.64/9,297.36
  6. Step 6: Final answer
    x = 6,966.82

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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.