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Finding the Fourth Proportional to 9,590.30, 14,386.82 and 3,017.00

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Solution

The fourth proportional to 9,590.30, 14,386.82 and 3,017.00 is: 4,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.30 : 14,386.82 = 3,017.00 : x
  2. Step 2: Convert to fraction form
    9,590.30/14,386.82 = 3,017.00/x
  3. Step 3: Cross multiply
    9,590.30x = 14,386.82 × 3,017.00
  4. Step 4: Simplify right side
    9,590.30x = 43,404,948.92
  5. Step 5: Solve for x
    x = 43,404,948.92/9,590.30
  6. Step 6: Final answer
    x = 4,525.92

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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.