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Finding the Fourth Proportional to 9,482.16, 13,084.08 and 5,289.60

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Solution

The fourth proportional to 9,482.16, 13,084.08 and 5,289.60 is: 7,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.16 : 13,084.08 = 5,289.60 : x
  2. Step 2: Convert to fraction form
    9,482.16/13,084.08 = 5,289.60/x
  3. Step 3: Cross multiply
    9,482.16x = 13,084.08 × 5,289.60
  4. Step 4: Simplify right side
    9,482.16x = 69,209,549.57
  5. Step 5: Solve for x
    x = 69,209,549.57/9,482.16
  6. Step 6: Final answer
    x = 7,298.92

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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.