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Finding the Fourth Proportional to 9,312.10, 13,961.66 and 4,377

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Solution

The fourth proportional to 9,312.10, 13,961.66 and 4,377 is: 6,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.10 : 13,961.66 = 4,377 : x
  2. Step 2: Convert to fraction form
    9,312.10/13,961.66 = 4,377/x
  3. Step 3: Cross multiply
    9,312.10x = 13,961.66 × 4,377
  4. Step 4: Simplify right side
    9,312.10x = 61,110,185.82
  5. Step 5: Solve for x
    x = 61,110,185.82/9,312.10
  6. Step 6: Final answer
    x = 6,562.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.