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Finding the Fourth Proportional to 9,590.98, 14,365.64 and 4,650.24

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Solution

The fourth proportional to 9,590.98, 14,365.64 and 4,650.24 is: 6,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.98 : 14,365.64 = 4,650.24 : x
  2. Step 2: Convert to fraction form
    9,590.98/14,365.64 = 4,650.24/x
  3. Step 3: Cross multiply
    9,590.98x = 14,365.64 × 4,650.24
  4. Step 4: Simplify right side
    9,590.98x = 66,803,673.75
  5. Step 5: Solve for x
    x = 66,803,673.75/9,590.98
  6. Step 6: Final answer
    x = 6,965.26

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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.