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Finding the Fourth Proportional to 9,460.72, 14,191.08 and 5,298.76

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Solution

The fourth proportional to 9,460.72, 14,191.08 and 5,298.76 is: 7,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.72 : 14,191.08 = 5,298.76 : x
  2. Step 2: Convert to fraction form
    9,460.72/14,191.08 = 5,298.76/x
  3. Step 3: Cross multiply
    9,460.72x = 14,191.08 × 5,298.76
  4. Step 4: Simplify right side
    9,460.72x = 75,195,127.06
  5. Step 5: Solve for x
    x = 75,195,127.06/9,460.72
  6. Step 6: Final answer
    x = 7,948.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.