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Finding the Fourth Proportional to 9,597.02, 14,368.95 and 4,906.93

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Solution

The fourth proportional to 9,597.02, 14,368.95 and 4,906.93 is: 7,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.02 : 14,368.95 = 4,906.93 : x
  2. Step 2: Convert to fraction form
    9,597.02/14,368.95 = 4,906.93/x
  3. Step 3: Cross multiply
    9,597.02x = 14,368.95 × 4,906.93
  4. Step 4: Simplify right side
    9,597.02x = 70,507,431.82
  5. Step 5: Solve for x
    x = 70,507,431.82/9,597.02
  6. Step 6: Final answer
    x = 7,346.80

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Why These Related Problems?

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