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Finding the Fourth Proportional to 9,597.18, 14,408.19 and 7,530.60

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Solution

The fourth proportional to 9,597.18, 14,408.19 and 7,530.60 is: 11,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.18 : 14,408.19 = 7,530.60 : x
  2. Step 2: Convert to fraction form
    9,597.18/14,408.19 = 7,530.60/x
  3. Step 3: Cross multiply
    9,597.18x = 14,408.19 × 7,530.60
  4. Step 4: Simplify right side
    9,597.18x = 108,502,315.61
  5. Step 5: Solve for x
    x = 108,502,315.61/9,597.18
  6. Step 6: Final answer
    x = 11,305.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.