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Finding the Fourth Proportional to 9,037.68, 13,564.60 and 7,566.08

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Solution

The fourth proportional to 9,037.68, 13,564.60 and 7,566.08 is: 11,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.68 : 13,564.60 = 7,566.08 : x
  2. Step 2: Convert to fraction form
    9,037.68/13,564.60 = 7,566.08/x
  3. Step 3: Cross multiply
    9,037.68x = 13,564.60 × 7,566.08
  4. Step 4: Simplify right side
    9,037.68x = 102,630,848.77
  5. Step 5: Solve for x
    x = 102,630,848.77/9,037.68
  6. Step 6: Final answer
    x = 11,355.88

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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.