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Finding the Fourth Proportional to 9,580.80, 13,218.74 and 5,547.30

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Solution

The fourth proportional to 9,580.80, 13,218.74 and 5,547.30 is: 7,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.80 : 13,218.74 = 5,547.30 : x
  2. Step 2: Convert to fraction form
    9,580.80/13,218.74 = 5,547.30/x
  3. Step 3: Cross multiply
    9,580.80x = 13,218.74 × 5,547.30
  4. Step 4: Simplify right side
    9,580.80x = 73,328,288.67
  5. Step 5: Solve for x
    x = 73,328,288.67/9,580.80
  6. Step 6: Final answer
    x = 7,653.67

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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.