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Finding the Fourth Proportional to 9,590.64, 14,385.94 and 3,017.32

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Solution

The fourth proportional to 9,590.64, 14,385.94 and 3,017.32 is: 4,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.64 : 14,385.94 = 3,017.32 : x
  2. Step 2: Convert to fraction form
    9,590.64/14,385.94 = 3,017.32/x
  3. Step 3: Cross multiply
    9,590.64x = 14,385.94 × 3,017.32
  4. Step 4: Simplify right side
    9,590.64x = 43,406,984.48
  5. Step 5: Solve for x
    x = 43,406,984.48/9,590.64
  6. Step 6: Final answer
    x = 4,525.97

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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.