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Finding the Fourth Proportional to 9,038.08, 12,466.16 and 7,776.96

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Solution

The fourth proportional to 9,038.08, 12,466.16 and 7,776.96 is: 10,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.08 : 12,466.16 = 7,776.96 : x
  2. Step 2: Convert to fraction form
    9,038.08/12,466.16 = 7,776.96/x
  3. Step 3: Cross multiply
    9,038.08x = 12,466.16 × 7,776.96
  4. Step 4: Simplify right side
    9,038.08x = 96,948,841.91
  5. Step 5: Solve for x
    x = 96,948,841.91/9,038.08
  6. Step 6: Final answer
    x = 10,726.71

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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.