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Finding the Fourth Proportional to 9,639.10, 13,303.47 and 6,985.54

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Solution

The fourth proportional to 9,639.10, 13,303.47 and 6,985.54 is: 9,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.10 : 13,303.47 = 6,985.54 : x
  2. Step 2: Convert to fraction form
    9,639.10/13,303.47 = 6,985.54/x
  3. Step 3: Cross multiply
    9,639.10x = 13,303.47 × 6,985.54
  4. Step 4: Simplify right side
    9,639.10x = 92,931,921.82
  5. Step 5: Solve for x
    x = 92,931,921.82/9,639.10
  6. Step 6: Final answer
    x = 9,641.14

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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.