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Finding the Fourth Proportional to 9,714.94, 14,574.06 and 4,785.08

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Solution

The fourth proportional to 9,714.94, 14,574.06 and 4,785.08 is: 7,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.94 : 14,574.06 = 4,785.08 : x
  2. Step 2: Convert to fraction form
    9,714.94/14,574.06 = 4,785.08/x
  3. Step 3: Cross multiply
    9,714.94x = 14,574.06 × 4,785.08
  4. Step 4: Simplify right side
    9,714.94x = 69,737,970.15
  5. Step 5: Solve for x
    x = 69,737,970.15/9,714.94
  6. Step 6: Final answer
    x = 7,178.43

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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.