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Finding the Fourth Proportional to 9,312.78, 12,851.88 and 5,537.98

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Solution

The fourth proportional to 9,312.78, 12,851.88 and 5,537.98 is: 7,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.78 : 12,851.88 = 5,537.98 : x
  2. Step 2: Convert to fraction form
    9,312.78/12,851.88 = 5,537.98/x
  3. Step 3: Cross multiply
    9,312.78x = 12,851.88 × 5,537.98
  4. Step 4: Simplify right side
    9,312.78x = 71,173,454.40
  5. Step 5: Solve for x
    x = 71,173,454.40/9,312.78
  6. Step 6: Final answer
    x = 7,642.56

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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.