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Finding the Fourth Proportional to 9,645.39, 13,307.70 and 5,396.01

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Solution

The fourth proportional to 9,645.39, 13,307.70 and 5,396.01 is: 7,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.39 : 13,307.70 = 5,396.01 : x
  2. Step 2: Convert to fraction form
    9,645.39/13,307.70 = 5,396.01/x
  3. Step 3: Cross multiply
    9,645.39x = 13,307.70 × 5,396.01
  4. Step 4: Simplify right side
    9,645.39x = 71,808,482.28
  5. Step 5: Solve for x
    x = 71,808,482.28/9,645.39
  6. Step 6: Final answer
    x = 7,444.85

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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.