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Finding the Fourth Proportional to 9,965.88, 14,945.58 and 4,700.16

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Solution

The fourth proportional to 9,965.88, 14,945.58 and 4,700.16 is: 7,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.88 : 14,945.58 = 4,700.16 : x
  2. Step 2: Convert to fraction form
    9,965.88/14,945.58 = 4,700.16/x
  3. Step 3: Cross multiply
    9,965.88x = 14,945.58 × 4,700.16
  4. Step 4: Simplify right side
    9,965.88x = 70,246,617.29
  5. Step 5: Solve for x
    x = 70,246,617.29/9,965.88
  6. Step 6: Final answer
    x = 7,048.71

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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.