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Finding the Fourth Proportional to 9,646.31, 14,471.28 and 6,533.48

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Solution

The fourth proportional to 9,646.31, 14,471.28 and 6,533.48 is: 9,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.31 : 14,471.28 = 6,533.48 : x
  2. Step 2: Convert to fraction form
    9,646.31/14,471.28 = 6,533.48/x
  3. Step 3: Cross multiply
    9,646.31x = 14,471.28 × 6,533.48
  4. Step 4: Simplify right side
    9,646.31x = 94,547,746.10
  5. Step 5: Solve for x
    x = 94,547,746.10/9,646.31
  6. Step 6: Final answer
    x = 9,801.45

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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.