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Finding the Fourth Proportional to 9,437.83, 13,023.93 and 5,459.65

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Solution

The fourth proportional to 9,437.83, 13,023.93 and 5,459.65 is: 7,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.83 : 13,023.93 = 5,459.65 : x
  2. Step 2: Convert to fraction form
    9,437.83/13,023.93 = 5,459.65/x
  3. Step 3: Cross multiply
    9,437.83x = 13,023.93 × 5,459.65
  4. Step 4: Simplify right side
    9,437.83x = 71,106,099.42
  5. Step 5: Solve for x
    x = 71,106,099.42/9,437.83
  6. Step 6: Final answer
    x = 7,534.16

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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.