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Finding the Fourth Proportional to 9,597.48, 14,369.64 and 4,907.40

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Solution

The fourth proportional to 9,597.48, 14,369.64 and 4,907.40 is: 7,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.48 : 14,369.64 = 4,907.40 : x
  2. Step 2: Convert to fraction form
    9,597.48/14,369.64 = 4,907.40/x
  3. Step 3: Cross multiply
    9,597.48x = 14,369.64 × 4,907.40
  4. Step 4: Simplify right side
    9,597.48x = 70,517,571.34
  5. Step 5: Solve for x
    x = 70,517,571.34/9,597.48
  6. Step 6: Final answer
    x = 7,347.51

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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.