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Finding the Fourth Proportional to 9,590.72, 14,386.68 and 3,017.16

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Solution

The fourth proportional to 9,590.72, 14,386.68 and 3,017.16 is: 4,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.72 : 14,386.68 = 3,017.16 : x
  2. Step 2: Convert to fraction form
    9,590.72/14,386.68 = 3,017.16/x
  3. Step 3: Cross multiply
    9,590.72x = 14,386.68 × 3,017.16
  4. Step 4: Simplify right side
    9,590.72x = 43,406,915.43
  5. Step 5: Solve for x
    x = 43,406,915.43/9,590.72
  6. Step 6: Final answer
    x = 4,525.93

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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.