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Finding the Fourth Proportional to 9,411.36, 12,987.46 and 5,162.24

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Solution

The fourth proportional to 9,411.36, 12,987.46 and 5,162.24 is: 7,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.36 : 12,987.46 = 5,162.24 : x
  2. Step 2: Convert to fraction form
    9,411.36/12,987.46 = 5,162.24/x
  3. Step 3: Cross multiply
    9,411.36x = 12,987.46 × 5,162.24
  4. Step 4: Simplify right side
    9,411.36x = 67,044,385.51
  5. Step 5: Solve for x
    x = 67,044,385.51/9,411.36
  6. Step 6: Final answer
    x = 7,123.77

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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.