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Finding the Fourth Proportional to 9,488.96, 13,099.56 and 6,506

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Solution

The fourth proportional to 9,488.96, 13,099.56 and 6,506 is: 8,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.96 : 13,099.56 = 6,506 : x
  2. Step 2: Convert to fraction form
    9,488.96/13,099.56 = 6,506/x
  3. Step 3: Cross multiply
    9,488.96x = 13,099.56 × 6,506
  4. Step 4: Simplify right side
    9,488.96x = 85,225,737.36
  5. Step 5: Solve for x
    x = 85,225,737.36/9,488.96
  6. Step 6: Final answer
    x = 8,981.57

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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.