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Finding the Fourth Proportional to 9,995.12, 15,009.70 and 9,577.16

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Solution

The fourth proportional to 9,995.12, 15,009.70 and 9,577.16 is: 14,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.12 : 15,009.70 = 9,577.16 : x
  2. Step 2: Convert to fraction form
    9,995.12/15,009.70 = 9,577.16/x
  3. Step 3: Cross multiply
    9,995.12x = 15,009.70 × 9,577.16
  4. Step 4: Simplify right side
    9,995.12x = 143,750,298.45
  5. Step 5: Solve for x
    x = 143,750,298.45/9,995.12
  6. Step 6: Final answer
    x = 14,382.05

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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.