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Finding the Fourth Proportional to 9,824.79, 13,558.10 and 6,472.47

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Solution

The fourth proportional to 9,824.79, 13,558.10 and 6,472.47 is: 8,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.79 : 13,558.10 = 6,472.47 : x
  2. Step 2: Convert to fraction form
    9,824.79/13,558.10 = 6,472.47/x
  3. Step 3: Cross multiply
    9,824.79x = 13,558.10 × 6,472.47
  4. Step 4: Simplify right side
    9,824.79x = 87,754,363.14
  5. Step 5: Solve for x
    x = 87,754,363.14/9,824.79
  6. Step 6: Final answer
    x = 8,931.93

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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.