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Finding the Fourth Proportional to 9,281.89, 12,809.88 and 5,303.02

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Solution

The fourth proportional to 9,281.89, 12,809.88 and 5,303.02 is: 7,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.89 : 12,809.88 = 5,303.02 : x
  2. Step 2: Convert to fraction form
    9,281.89/12,809.88 = 5,303.02/x
  3. Step 3: Cross multiply
    9,281.89x = 12,809.88 × 5,303.02
  4. Step 4: Simplify right side
    9,281.89x = 67,931,049.84
  5. Step 5: Solve for x
    x = 67,931,049.84/9,281.89
  6. Step 6: Final answer
    x = 7,318.67

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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.