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Finding the Fourth Proportional to 9,483.96, 13,088.46 and 5,292.24

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Solution

The fourth proportional to 9,483.96, 13,088.46 and 5,292.24 is: 7,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.96 : 13,088.46 = 5,292.24 : x
  2. Step 2: Convert to fraction form
    9,483.96/13,088.46 = 5,292.24/x
  3. Step 3: Cross multiply
    9,483.96x = 13,088.46 × 5,292.24
  4. Step 4: Simplify right side
    9,483.96x = 69,267,271.55
  5. Step 5: Solve for x
    x = 69,267,271.55/9,483.96
  6. Step 6: Final answer
    x = 7,303.62

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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.