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Finding the Fourth Proportional to 9,319.49, 12,854.16 and 5,339.15

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Solution

The fourth proportional to 9,319.49, 12,854.16 and 5,339.15 is: 7,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.49 : 12,854.16 = 5,339.15 : x
  2. Step 2: Convert to fraction form
    9,319.49/12,854.16 = 5,339.15/x
  3. Step 3: Cross multiply
    9,319.49x = 12,854.16 × 5,339.15
  4. Step 4: Simplify right side
    9,319.49x = 68,630,224.09
  5. Step 5: Solve for x
    x = 68,630,224.09/9,319.49
  6. Step 6: Final answer
    x = 7,364.16

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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.