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Finding the Fourth Proportional to 9,985.20, 14,975.70 and 5,050.20

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Solution

The fourth proportional to 9,985.20, 14,975.70 and 5,050.20 is: 7,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.20 : 14,975.70 = 5,050.20 : x
  2. Step 2: Convert to fraction form
    9,985.20/14,975.70 = 5,050.20/x
  3. Step 3: Cross multiply
    9,985.20x = 14,975.70 × 5,050.20
  4. Step 4: Simplify right side
    9,985.20x = 75,630,280.14
  5. Step 5: Solve for x
    x = 75,630,280.14/9,985.20
  6. Step 6: Final answer
    x = 7,574.24

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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.