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Finding the Fourth Proportional to 9,477.64, 14,199.18 and 6,985

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Solution

The fourth proportional to 9,477.64, 14,199.18 and 6,985 is: 10,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.64 : 14,199.18 = 6,985 : x
  2. Step 2: Convert to fraction form
    9,477.64/14,199.18 = 6,985/x
  3. Step 3: Cross multiply
    9,477.64x = 14,199.18 × 6,985
  4. Step 4: Simplify right side
    9,477.64x = 99,181,272.30
  5. Step 5: Solve for x
    x = 99,181,272.30/9,477.64
  6. Step 6: Final answer
    x = 10,464.76

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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.