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Finding the Fourth Proportional to 9,875.36, 14,812.74 and 4,032.02

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Solution

The fourth proportional to 9,875.36, 14,812.74 and 4,032.02 is: 6,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.36 : 14,812.74 = 4,032.02 : x
  2. Step 2: Convert to fraction form
    9,875.36/14,812.74 = 4,032.02/x
  3. Step 3: Cross multiply
    9,875.36x = 14,812.74 × 4,032.02
  4. Step 4: Simplify right side
    9,875.36x = 59,725,263.93
  5. Step 5: Solve for x
    x = 59,725,263.93/9,875.36
  6. Step 6: Final answer
    x = 6,047.91

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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.