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Finding the Fourth Proportional to 9,938.42, 14,875.18 and 7,305.24

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Solution

The fourth proportional to 9,938.42, 14,875.18 and 7,305.24 is: 10,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.42 : 14,875.18 = 7,305.24 : x
  2. Step 2: Convert to fraction form
    9,938.42/14,875.18 = 7,305.24/x
  3. Step 3: Cross multiply
    9,938.42x = 14,875.18 × 7,305.24
  4. Step 4: Simplify right side
    9,938.42x = 108,666,759.94
  5. Step 5: Solve for x
    x = 108,666,759.94/9,938.42
  6. Step 6: Final answer
    x = 10,934.01

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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.