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Finding the Fourth Proportional to 9,461.60, 13,056.37 and 5,482.00

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Solution

The fourth proportional to 9,461.60, 13,056.37 and 5,482.00 is: 7,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.60 : 13,056.37 = 5,482.00 : x
  2. Step 2: Convert to fraction form
    9,461.60/13,056.37 = 5,482.00/x
  3. Step 3: Cross multiply
    9,461.60x = 13,056.37 × 5,482.00
  4. Step 4: Simplify right side
    9,461.60x = 71,574,955.06
  5. Step 5: Solve for x
    x = 71,574,955.06/9,461.60
  6. Step 6: Final answer
    x = 7,564.79

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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.