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Finding the Fourth Proportional to 9,938.10, 14,907.15 and 7,184.10

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Solution

The fourth proportional to 9,938.10, 14,907.15 and 7,184.10 is: 10,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.10 : 14,907.15 = 7,184.10 : x
  2. Step 2: Convert to fraction form
    9,938.10/14,907.15 = 7,184.10/x
  3. Step 3: Cross multiply
    9,938.10x = 14,907.15 × 7,184.10
  4. Step 4: Simplify right side
    9,938.10x = 107,094,456.32
  5. Step 5: Solve for x
    x = 107,094,456.32/9,938.10
  6. Step 6: Final answer
    x = 10,776.15

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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.