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Finding the Fourth Proportional to 9,074.50, 12,523.84 and 5,298.60

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Solution

The fourth proportional to 9,074.50, 12,523.84 and 5,298.60 is: 7,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.50 : 12,523.84 = 5,298.60 : x
  2. Step 2: Convert to fraction form
    9,074.50/12,523.84 = 5,298.60/x
  3. Step 3: Cross multiply
    9,074.50x = 12,523.84 × 5,298.60
  4. Step 4: Simplify right side
    9,074.50x = 66,358,852.34
  5. Step 5: Solve for x
    x = 66,358,852.34/9,074.50
  6. Step 6: Final answer
    x = 7,312.68

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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.