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Finding the Fourth Proportional to 9,590.72, 14,366.64 and 4,964

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Solution

The fourth proportional to 9,590.72, 14,366.64 and 4,964 is: 7,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.72 : 14,366.64 = 4,964 : x
  2. Step 2: Convert to fraction form
    9,590.72/14,366.64 = 4,964/x
  3. Step 3: Cross multiply
    9,590.72x = 14,366.64 × 4,964
  4. Step 4: Simplify right side
    9,590.72x = 71,316,000.96
  5. Step 5: Solve for x
    x = 71,316,000.96/9,590.72
  6. Step 6: Final answer
    x = 7,435.94

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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.