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Finding the Fourth Proportional to 9,856.08, 13,598.16 and 7,023.90

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Solution

The fourth proportional to 9,856.08, 13,598.16 and 7,023.90 is: 9,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.08 : 13,598.16 = 7,023.90 : x
  2. Step 2: Convert to fraction form
    9,856.08/13,598.16 = 7,023.90/x
  3. Step 3: Cross multiply
    9,856.08x = 13,598.16 × 7,023.90
  4. Step 4: Simplify right side
    9,856.08x = 95,512,116.02
  5. Step 5: Solve for x
    x = 95,512,116.02/9,856.08
  6. Step 6: Final answer
    x = 9,690.68

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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.