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Finding the Fourth Proportional to 9,484.64, 14,225.24 and 2,557.52

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Solution

The fourth proportional to 9,484.64, 14,225.24 and 2,557.52 is: 3,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.64 : 14,225.24 = 2,557.52 : x
  2. Step 2: Convert to fraction form
    9,484.64/14,225.24 = 2,557.52/x
  3. Step 3: Cross multiply
    9,484.64x = 14,225.24 × 2,557.52
  4. Step 4: Simplify right side
    9,484.64x = 36,381,335.80
  5. Step 5: Solve for x
    x = 36,381,335.80/9,484.64
  6. Step 6: Final answer
    x = 3,835.82

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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.