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Finding the Fourth Proportional to 9,705.85, 13,390.98 and 5,670.83

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Solution

The fourth proportional to 9,705.85, 13,390.98 and 5,670.83 is: 7,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.85 : 13,390.98 = 5,670.83 : x
  2. Step 2: Convert to fraction form
    9,705.85/13,390.98 = 5,670.83/x
  3. Step 3: Cross multiply
    9,705.85x = 13,390.98 × 5,670.83
  4. Step 4: Simplify right side
    9,705.85x = 75,937,971.11
  5. Step 5: Solve for x
    x = 75,937,971.11/9,705.85
  6. Step 6: Final answer
    x = 7,823.94

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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.