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Finding the Fourth Proportional to 9,590.88, 14,383.64 and 6,075.66

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Solution

The fourth proportional to 9,590.88, 14,383.64 and 6,075.66 is: 9,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.88 : 14,383.64 = 6,075.66 : x
  2. Step 2: Convert to fraction form
    9,590.88/14,383.64 = 6,075.66/x
  3. Step 3: Cross multiply
    9,590.88x = 14,383.64 × 6,075.66
  4. Step 4: Simplify right side
    9,590.88x = 87,390,106.20
  5. Step 5: Solve for x
    x = 87,390,106.20/9,590.88
  6. Step 6: Final answer
    x = 9,111.79

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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.