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Finding the Fourth Proportional to 9,459.42, 13,037.67 and 7,097.46

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Solution

The fourth proportional to 9,459.42, 13,037.67 and 7,097.46 is: 9,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.42 : 13,037.67 = 7,097.46 : x
  2. Step 2: Convert to fraction form
    9,459.42/13,037.67 = 7,097.46/x
  3. Step 3: Cross multiply
    9,459.42x = 13,037.67 × 7,097.46
  4. Step 4: Simplify right side
    9,459.42x = 92,534,341.32
  5. Step 5: Solve for x
    x = 92,534,341.32/9,459.42
  6. Step 6: Final answer
    x = 9,782.24

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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.