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Finding the Fourth Proportional to 9,648.20, 13,316.06 and 5,670.30

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Solution

The fourth proportional to 9,648.20, 13,316.06 and 5,670.30 is: 7,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.20 : 13,316.06 = 5,670.30 : x
  2. Step 2: Convert to fraction form
    9,648.20/13,316.06 = 5,670.30/x
  3. Step 3: Cross multiply
    9,648.20x = 13,316.06 × 5,670.30
  4. Step 4: Simplify right side
    9,648.20x = 75,506,055.02
  5. Step 5: Solve for x
    x = 75,506,055.02/9,648.20
  6. Step 6: Final answer
    x = 7,825.92

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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.