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Finding the Fourth Proportional to 7,024.84, 9,691.20 and 4,631.74

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Solution

The fourth proportional to 7,024.84, 9,691.20 and 4,631.74 is: 6,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.84 : 9,691.20 = 4,631.74 : x
  2. Step 2: Convert to fraction form
    7,024.84/9,691.20 = 4,631.74/x
  3. Step 3: Cross multiply
    7,024.84x = 9,691.20 × 4,631.74
  4. Step 4: Simplify right side
    7,024.84x = 44,887,094.46
  5. Step 5: Solve for x
    x = 44,887,094.46/7,024.84
  6. Step 6: Final answer
    x = 6,389.77

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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.