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Finding the Fourth Proportional to 9,478.31, 14,272.58 and 7,030.49

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Solution

The fourth proportional to 9,478.31, 14,272.58 and 7,030.49 is: 10,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.31 : 14,272.58 = 7,030.49 : x
  2. Step 2: Convert to fraction form
    9,478.31/14,272.58 = 7,030.49/x
  3. Step 3: Cross multiply
    9,478.31x = 14,272.58 × 7,030.49
  4. Step 4: Simplify right side
    9,478.31x = 100,343,177.18
  5. Step 5: Solve for x
    x = 100,343,177.18/9,478.31
  6. Step 6: Final answer
    x = 10,586.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.