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Finding the Fourth Proportional to 9,970.42, 14,950.05 and 4,627.90

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Solution

The fourth proportional to 9,970.42, 14,950.05 and 4,627.90 is: 6,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.42 : 14,950.05 = 4,627.90 : x
  2. Step 2: Convert to fraction form
    9,970.42/14,950.05 = 4,627.90/x
  3. Step 3: Cross multiply
    9,970.42x = 14,950.05 × 4,627.90
  4. Step 4: Simplify right side
    9,970.42x = 69,187,336.40
  5. Step 5: Solve for x
    x = 69,187,336.40/9,970.42
  6. Step 6: Final answer
    x = 6,939.26

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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.