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Finding the Fourth Proportional to 9,575.60, 14,279.54 and 9,488.08

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Solution

The fourth proportional to 9,575.60, 14,279.54 and 9,488.08 is: 14,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.60 : 14,279.54 = 9,488.08 : x
  2. Step 2: Convert to fraction form
    9,575.60/14,279.54 = 9,488.08/x
  3. Step 3: Cross multiply
    9,575.60x = 14,279.54 × 9,488.08
  4. Step 4: Simplify right side
    9,575.60x = 135,485,417.88
  5. Step 5: Solve for x
    x = 135,485,417.88/9,575.60
  6. Step 6: Final answer
    x = 14,149.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.