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Finding the Fourth Proportional to 9,966.78, 13,748.67 and 6,987.06

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Solution

The fourth proportional to 9,966.78, 13,748.67 and 6,987.06 is: 9,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.78 : 13,748.67 = 6,987.06 : x
  2. Step 2: Convert to fraction form
    9,966.78/13,748.67 = 6,987.06/x
  3. Step 3: Cross multiply
    9,966.78x = 13,748.67 × 6,987.06
  4. Step 4: Simplify right side
    9,966.78x = 96,062,782.21
  5. Step 5: Solve for x
    x = 96,062,782.21/9,966.78
  6. Step 6: Final answer
    x = 9,638.30

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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.