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Finding the Fourth Proportional to 9,444.64, 14,167.16 and 2,870.52

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Solution

The fourth proportional to 9,444.64, 14,167.16 and 2,870.52 is: 4,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.64 : 14,167.16 = 2,870.52 : x
  2. Step 2: Convert to fraction form
    9,444.64/14,167.16 = 2,870.52/x
  3. Step 3: Cross multiply
    9,444.64x = 14,167.16 × 2,870.52
  4. Step 4: Simplify right side
    9,444.64x = 40,667,116.12
  5. Step 5: Solve for x
    x = 40,667,116.12/9,444.64
  6. Step 6: Final answer
    x = 4,305.84

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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.