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Finding the Fourth Proportional to 9,126.90, 12,595.10 and 5,148

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Solution

The fourth proportional to 9,126.90, 12,595.10 and 5,148 is: 7,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.90 : 12,595.10 = 5,148 : x
  2. Step 2: Convert to fraction form
    9,126.90/12,595.10 = 5,148/x
  3. Step 3: Cross multiply
    9,126.90x = 12,595.10 × 5,148
  4. Step 4: Simplify right side
    9,126.90x = 64,839,549.06
  5. Step 5: Solve for x
    x = 64,839,549.06/9,126.90
  6. Step 6: Final answer
    x = 7,104.22

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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.