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Finding the Fourth Proportional to 9,064.36, 12,508.62 and 5,236

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Solution

The fourth proportional to 9,064.36, 12,508.62 and 5,236 is: 7,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.36 : 12,508.62 = 5,236 : x
  2. Step 2: Convert to fraction form
    9,064.36/12,508.62 = 5,236/x
  3. Step 3: Cross multiply
    9,064.36x = 12,508.62 × 5,236
  4. Step 4: Simplify right side
    9,064.36x = 65,495,134.32
  5. Step 5: Solve for x
    x = 65,495,134.32/9,064.36
  6. Step 6: Final answer
    x = 7,225.57

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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.