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Finding the Fourth Proportional to 9,980, 14,966.16 and 4,132.64

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Solution

The fourth proportional to 9,980, 14,966.16 and 4,132.64 is: 6,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980 : 14,966.16 = 4,132.64 : x
  2. Step 2: Convert to fraction form
    9,980/14,966.16 = 4,132.64/x
  3. Step 3: Cross multiply
    9,980x = 14,966.16 × 4,132.64
  4. Step 4: Simplify right side
    9,980x = 61,849,751.46
  5. Step 5: Solve for x
    x = 61,849,751.46/9,980
  6. Step 6: Final answer
    x = 6,197.37

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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.