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Finding the Fourth Proportional to 9,980.64, 14,970.42 and 3,055.14

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Solution

The fourth proportional to 9,980.64, 14,970.42 and 3,055.14 is: 4,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.64 : 14,970.42 = 3,055.14 : x
  2. Step 2: Convert to fraction form
    9,980.64/14,970.42 = 3,055.14/x
  3. Step 3: Cross multiply
    9,980.64x = 14,970.42 × 3,055.14
  4. Step 4: Simplify right side
    9,980.64x = 45,736,728.96
  5. Step 5: Solve for x
    x = 45,736,728.96/9,980.64
  6. Step 6: Final answer
    x = 4,582.54

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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.