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Finding the Fourth Proportional to 9,670.89, 13,346.48 and 5,421.90

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Solution

The fourth proportional to 9,670.89, 13,346.48 and 5,421.90 is: 7,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.89 : 13,346.48 = 5,421.90 : x
  2. Step 2: Convert to fraction form
    9,670.89/13,346.48 = 5,421.90/x
  3. Step 3: Cross multiply
    9,670.89x = 13,346.48 × 5,421.90
  4. Step 4: Simplify right side
    9,670.89x = 72,363,252.80
  5. Step 5: Solve for x
    x = 72,363,252.80/9,670.89
  6. Step 6: Final answer
    x = 7,482.58

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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.