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Finding the Fourth Proportional to 9,208.16, 12,714.75 and 7,506.93

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Solution

The fourth proportional to 9,208.16, 12,714.75 and 7,506.93 is: 10,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.16 : 12,714.75 = 7,506.93 : x
  2. Step 2: Convert to fraction form
    9,208.16/12,714.75 = 7,506.93/x
  3. Step 3: Cross multiply
    9,208.16x = 12,714.75 × 7,506.93
  4. Step 4: Simplify right side
    9,208.16x = 95,448,738.22
  5. Step 5: Solve for x
    x = 95,448,738.22/9,208.16
  6. Step 6: Final answer
    x = 10,365.67

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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.