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Finding the Fourth Proportional to 9,775.98, 13,487.58 and 5,526.48

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Solution

The fourth proportional to 9,775.98, 13,487.58 and 5,526.48 is: 7,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.98 : 13,487.58 = 5,526.48 : x
  2. Step 2: Convert to fraction form
    9,775.98/13,487.58 = 5,526.48/x
  3. Step 3: Cross multiply
    9,775.98x = 13,487.58 × 5,526.48
  4. Step 4: Simplify right side
    9,775.98x = 74,538,841.12
  5. Step 5: Solve for x
    x = 74,538,841.12/9,775.98
  6. Step 6: Final answer
    x = 7,624.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.