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Finding the Fourth Proportional to 9,642.84, 13,307.40 and 5,451

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Solution

The fourth proportional to 9,642.84, 13,307.40 and 5,451 is: 7,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.84 : 13,307.40 = 5,451 : x
  2. Step 2: Convert to fraction form
    9,642.84/13,307.40 = 5,451/x
  3. Step 3: Cross multiply
    9,642.84x = 13,307.40 × 5,451
  4. Step 4: Simplify right side
    9,642.84x = 72,538,637.40
  5. Step 5: Solve for x
    x = 72,538,637.40/9,642.84
  6. Step 6: Final answer
    x = 7,522.54

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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.