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Finding the Fourth Proportional to 9,417.60, 14,116.80 and 5,251.20

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Solution

The fourth proportional to 9,417.60, 14,116.80 and 5,251.20 is: 7,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.60 : 14,116.80 = 5,251.20 : x
  2. Step 2: Convert to fraction form
    9,417.60/14,116.80 = 5,251.20/x
  3. Step 3: Cross multiply
    9,417.60x = 14,116.80 × 5,251.20
  4. Step 4: Simplify right side
    9,417.60x = 74,130,140.16
  5. Step 5: Solve for x
    x = 74,130,140.16/9,417.60
  6. Step 6: Final answer
    x = 7,871.45

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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.