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Finding the Fourth Proportional to 9,655.64, 14,482.62 and 4,973

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Solution

The fourth proportional to 9,655.64, 14,482.62 and 4,973 is: 7,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.64 : 14,482.62 = 4,973 : x
  2. Step 2: Convert to fraction form
    9,655.64/14,482.62 = 4,973/x
  3. Step 3: Cross multiply
    9,655.64x = 14,482.62 × 4,973
  4. Step 4: Simplify right side
    9,655.64x = 72,022,069.26
  5. Step 5: Solve for x
    x = 72,022,069.26/9,655.64
  6. Step 6: Final answer
    x = 7,459.07

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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.