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Finding the Fourth Proportional to 9,575.88, 13,214.72 and 5,384.16

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Solution

The fourth proportional to 9,575.88, 13,214.72 and 5,384.16 is: 7,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.88 : 13,214.72 = 5,384.16 : x
  2. Step 2: Convert to fraction form
    9,575.88/13,214.72 = 5,384.16/x
  3. Step 3: Cross multiply
    9,575.88x = 13,214.72 × 5,384.16
  4. Step 4: Simplify right side
    9,575.88x = 71,150,166.84
  5. Step 5: Solve for x
    x = 71,150,166.84/9,575.88
  6. Step 6: Final answer
    x = 7,430.14

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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.