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Finding the Fourth Proportional to 10,627.54, 14,632.62 and 9,030.82

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Solution

The fourth proportional to 10,627.54, 14,632.62 and 9,030.82 is: 12,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.54 : 14,632.62 = 9,030.82 : x
  2. Step 2: Convert to fraction form
    10,627.54/14,632.62 = 9,030.82/x
  3. Step 3: Cross multiply
    10,627.54x = 14,632.62 × 9,030.82
  4. Step 4: Simplify right side
    10,627.54x = 132,144,557.35
  5. Step 5: Solve for x
    x = 132,144,557.35/10,627.54
  6. Step 6: Final answer
    x = 12,434.16

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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.