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Finding the Fourth Proportional to 9,637.60, 13,302.40 and 6,288.72

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Solution

The fourth proportional to 9,637.60, 13,302.40 and 6,288.72 is: 8,680.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.60 : 13,302.40 = 6,288.72 : x
  2. Step 2: Convert to fraction form
    9,637.60/13,302.40 = 6,288.72/x
  3. Step 3: Cross multiply
    9,637.60x = 13,302.40 × 6,288.72
  4. Step 4: Simplify right side
    9,637.60x = 83,655,068.93
  5. Step 5: Solve for x
    x = 83,655,068.93/9,637.60
  6. Step 6: Final answer
    x = 8,680.07

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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.