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Finding the Fourth Proportional to 9,952.38, 14,935.32 and 4,108.95

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Solution

The fourth proportional to 9,952.38, 14,935.32 and 4,108.95 is: 6,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.38 : 14,935.32 = 4,108.95 : x
  2. Step 2: Convert to fraction form
    9,952.38/14,935.32 = 4,108.95/x
  3. Step 3: Cross multiply
    9,952.38x = 14,935.32 × 4,108.95
  4. Step 4: Simplify right side
    9,952.38x = 61,368,483.11
  5. Step 5: Solve for x
    x = 61,368,483.11/9,952.38
  6. Step 6: Final answer
    x = 6,166.21

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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.